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Finding the Fourth Proportional to 9,547.61, 14,329.98 and 4,619.03

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Solution

The fourth proportional to 9,547.61, 14,329.98 and 4,619.03 is: 6,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.61 : 14,329.98 = 4,619.03 : x
  2. Step 2: Convert to fraction form
    9,547.61/14,329.98 = 4,619.03/x
  3. Step 3: Cross multiply
    9,547.61x = 14,329.98 × 4,619.03
  4. Step 4: Simplify right side
    9,547.61x = 66,190,535.87
  5. Step 5: Solve for x
    x = 66,190,535.87/9,547.61
  6. Step 6: Final answer
    x = 6,932.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.