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Finding the Fourth Proportional to 9,674.41, 14,511 and 5,775.88

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Solution

The fourth proportional to 9,674.41, 14,511 and 5,775.88 is: 8,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.41 : 14,511 = 5,775.88 : x
  2. Step 2: Convert to fraction form
    9,674.41/14,511 = 5,775.88/x
  3. Step 3: Cross multiply
    9,674.41x = 14,511 × 5,775.88
  4. Step 4: Simplify right side
    9,674.41x = 83,813,722.13
  5. Step 5: Solve for x
    x = 83,813,722.13/9,674.41
  6. Step 6: Final answer
    x = 8,663.45

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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.