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Finding the Fourth Proportional to 9,934.92, 13,710.23 and 5,458.78

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Solution

The fourth proportional to 9,934.92, 13,710.23 and 5,458.78 is: 7,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.92 : 13,710.23 = 5,458.78 : x
  2. Step 2: Convert to fraction form
    9,934.92/13,710.23 = 5,458.78/x
  3. Step 3: Cross multiply
    9,934.92x = 13,710.23 × 5,458.78
  4. Step 4: Simplify right side
    9,934.92x = 74,841,129.32
  5. Step 5: Solve for x
    x = 74,841,129.32/9,934.92
  6. Step 6: Final answer
    x = 7,533.14

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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.