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Finding the Fourth Proportional to 9,572.40, 14,358.87 and 2,646.90

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Solution

The fourth proportional to 9,572.40, 14,358.87 and 2,646.90 is: 3,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.40 : 14,358.87 = 2,646.90 : x
  2. Step 2: Convert to fraction form
    9,572.40/14,358.87 = 2,646.90/x
  3. Step 3: Cross multiply
    9,572.40x = 14,358.87 × 2,646.90
  4. Step 4: Simplify right side
    9,572.40x = 38,006,407.97
  5. Step 5: Solve for x
    x = 38,006,407.97/9,572.40
  6. Step 6: Final answer
    x = 3,970.42

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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.