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Finding the Fourth Proportional to 9,647.43, 13,312.29 and 5,398.71

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Solution

The fourth proportional to 9,647.43, 13,312.29 and 5,398.71 is: 7,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.43 : 13,312.29 = 5,398.71 : x
  2. Step 2: Convert to fraction form
    9,647.43/13,312.29 = 5,398.71/x
  3. Step 3: Cross multiply
    9,647.43x = 13,312.29 × 5,398.71
  4. Step 4: Simplify right side
    9,647.43x = 71,869,193.15
  5. Step 5: Solve for x
    x = 71,869,193.15/9,647.43
  6. Step 6: Final answer
    x = 7,449.57

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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.