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Finding the Fourth Proportional to 9,349.14, 12,901.68 and 5,370.42

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Solution

The fourth proportional to 9,349.14, 12,901.68 and 5,370.42 is: 7,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.14 : 12,901.68 = 5,370.42 : x
  2. Step 2: Convert to fraction form
    9,349.14/12,901.68 = 5,370.42/x
  3. Step 3: Cross multiply
    9,349.14x = 12,901.68 × 5,370.42
  4. Step 4: Simplify right side
    9,349.14x = 69,287,440.31
  5. Step 5: Solve for x
    x = 69,287,440.31/9,349.14
  6. Step 6: Final answer
    x = 7,411.10

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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.