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Finding the Fourth Proportional to 9,707.61, 13,394.69 and 5,458.13

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Solution

The fourth proportional to 9,707.61, 13,394.69 and 5,458.13 is: 7,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.61 : 13,394.69 = 5,458.13 : x
  2. Step 2: Convert to fraction form
    9,707.61/13,394.69 = 5,458.13/x
  3. Step 3: Cross multiply
    9,707.61x = 13,394.69 × 5,458.13
  4. Step 4: Simplify right side
    9,707.61x = 73,109,892.36
  5. Step 5: Solve for x
    x = 73,109,892.36/9,707.61
  6. Step 6: Final answer
    x = 7,531.19

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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.