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Finding the Fourth Proportional to 9,693.55, 14,531.09 and 3,115.11

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Solution

The fourth proportional to 9,693.55, 14,531.09 and 3,115.11 is: 4,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.55 : 14,531.09 = 3,115.11 : x
  2. Step 2: Convert to fraction form
    9,693.55/14,531.09 = 3,115.11/x
  3. Step 3: Cross multiply
    9,693.55x = 14,531.09 × 3,115.11
  4. Step 4: Simplify right side
    9,693.55x = 45,265,982.69
  5. Step 5: Solve for x
    x = 45,265,982.69/9,693.55
  6. Step 6: Final answer
    x = 4,669.70

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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.