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Finding the Fourth Proportional to 9,572.28, 14,358.68 and 2,646.78

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Solution

The fourth proportional to 9,572.28, 14,358.68 and 2,646.78 is: 3,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.28 : 14,358.68 = 2,646.78 : x
  2. Step 2: Convert to fraction form
    9,572.28/14,358.68 = 2,646.78/x
  3. Step 3: Cross multiply
    9,572.28x = 14,358.68 × 2,646.78
  4. Step 4: Simplify right side
    9,572.28x = 38,004,267.05
  5. Step 5: Solve for x
    x = 38,004,267.05/9,572.28
  6. Step 6: Final answer
    x = 3,970.24

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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.