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Finding the Fourth Proportional to 9,253.71, 12,770.06 and 5,061.96

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Solution

The fourth proportional to 9,253.71, 12,770.06 and 5,061.96 is: 6,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.71 : 12,770.06 = 5,061.96 : x
  2. Step 2: Convert to fraction form
    9,253.71/12,770.06 = 5,061.96/x
  3. Step 3: Cross multiply
    9,253.71x = 12,770.06 × 5,061.96
  4. Step 4: Simplify right side
    9,253.71x = 64,641,507.61
  5. Step 5: Solve for x
    x = 64,641,507.61/9,253.71
  6. Step 6: Final answer
    x = 6,985.47

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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.