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Finding the Fourth Proportional to 9,934.92, 13,710.33 and 5,458.59

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Solution

The fourth proportional to 9,934.92, 13,710.33 and 5,458.59 is: 7,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.92 : 13,710.33 = 5,458.59 : x
  2. Step 2: Convert to fraction form
    9,934.92/13,710.33 = 5,458.59/x
  3. Step 3: Cross multiply
    9,934.92x = 13,710.33 × 5,458.59
  4. Step 4: Simplify right side
    9,934.92x = 74,839,070.23
  5. Step 5: Solve for x
    x = 74,839,070.23/9,934.92
  6. Step 6: Final answer
    x = 7,532.93

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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.