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Finding the Fourth Proportional to 9,531.59, 14,298.02 and 3,292.21

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Solution

The fourth proportional to 9,531.59, 14,298.02 and 3,292.21 is: 4,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.59 : 14,298.02 = 3,292.21 : x
  2. Step 2: Convert to fraction form
    9,531.59/14,298.02 = 3,292.21/x
  3. Step 3: Cross multiply
    9,531.59x = 14,298.02 × 3,292.21
  4. Step 4: Simplify right side
    9,531.59x = 47,071,996.47
  5. Step 5: Solve for x
    x = 47,071,996.47/9,531.59
  6. Step 6: Final answer
    x = 4,938.53

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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.