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Finding the Fourth Proportional to 9,934.91, 13,710.02 and 5,458.58

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Solution

The fourth proportional to 9,934.91, 13,710.02 and 5,458.58 is: 7,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.91 : 13,710.02 = 5,458.58 : x
  2. Step 2: Convert to fraction form
    9,934.91/13,710.02 = 5,458.58/x
  3. Step 3: Cross multiply
    9,934.91x = 13,710.02 × 5,458.58
  4. Step 4: Simplify right side
    9,934.91x = 74,837,145.13
  5. Step 5: Solve for x
    x = 74,837,145.13/9,934.91
  6. Step 6: Final answer
    x = 7,532.75

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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.