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Finding the Fourth Proportional to 9,531.90, 13,158.99 and 7,402.65

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Solution

The fourth proportional to 9,531.90, 13,158.99 and 7,402.65 is: 10,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.90 : 13,158.99 = 7,402.65 : x
  2. Step 2: Convert to fraction form
    9,531.90/13,158.99 = 7,402.65/x
  3. Step 3: Cross multiply
    9,531.90x = 13,158.99 × 7,402.65
  4. Step 4: Simplify right side
    9,531.90x = 97,411,397.32
  5. Step 5: Solve for x
    x = 97,411,397.32/9,531.90
  6. Step 6: Final answer
    x = 10,219.52

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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.