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Finding the Fourth Proportional to 10,320.81, 15,437.85 and 9,572.98

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Solution

The fourth proportional to 10,320.81, 15,437.85 and 9,572.98 is: 14,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.81 : 15,437.85 = 9,572.98 : x
  2. Step 2: Convert to fraction form
    10,320.81/15,437.85 = 9,572.98/x
  3. Step 3: Cross multiply
    10,320.81x = 15,437.85 × 9,572.98
  4. Step 4: Simplify right side
    10,320.81x = 147,786,229.29
  5. Step 5: Solve for x
    x = 147,786,229.29/10,320.81
  6. Step 6: Final answer
    x = 14,319.25

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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.