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Finding the Fourth Proportional to 10,572.40, 14,597.08 and 9,449.76

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Solution

The fourth proportional to 10,572.40, 14,597.08 and 9,449.76 is: 13,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.40 : 14,597.08 = 9,449.76 : x
  2. Step 2: Convert to fraction form
    10,572.40/14,597.08 = 9,449.76/x
  3. Step 3: Cross multiply
    10,572.40x = 14,597.08 × 9,449.76
  4. Step 4: Simplify right side
    10,572.40x = 137,938,902.70
  5. Step 5: Solve for x
    x = 137,938,902.70/10,572.40
  6. Step 6: Final answer
    x = 13,047.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.