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Finding the Fourth Proportional to 9,834,494.94, 13,571,547.03 and 5,483,633.40

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Solution

The fourth proportional to 9,834,494.94, 13,571,547.03 and 5,483,633.40 is: 7,567,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834,494.94 : 13,571,547.03 = 5,483,633.40 : x
  2. Step 2: Convert to fraction form
    9,834,494.94/13,571,547.03 = 5,483,633.40/x
  3. Step 3: Cross multiply
    9,834,494.94x = 13,571,547.03 × 5,483,633.40
  4. Step 4: Simplify right side
    9,834,494.94x = 74,421,388,583,378.80
  5. Step 5: Solve for x
    x = 74,421,388,583,378.80/9,834,494.94
  6. Step 6: Final answer
    x = 7,567,382.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.