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Finding the Fourth Proportional to 9,641.71, 14,470.76 and 6,875.16

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Solution

The fourth proportional to 9,641.71, 14,470.76 and 6,875.16 is: 10,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.71 : 14,470.76 = 6,875.16 : x
  2. Step 2: Convert to fraction form
    9,641.71/14,470.76 = 6,875.16/x
  3. Step 3: Cross multiply
    9,641.71x = 14,470.76 × 6,875.16
  4. Step 4: Simplify right side
    9,641.71x = 99,488,790.32
  5. Step 5: Solve for x
    x = 99,488,790.32/9,641.71
  6. Step 6: Final answer
    x = 10,318.58

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