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Finding the Fourth Proportional to 9,649.92, 13,318.02 and 5,458.17

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Solution

The fourth proportional to 9,649.92, 13,318.02 and 5,458.17 is: 7,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.92 : 13,318.02 = 5,458.17 : x
  2. Step 2: Convert to fraction form
    9,649.92/13,318.02 = 5,458.17/x
  3. Step 3: Cross multiply
    9,649.92x = 13,318.02 × 5,458.17
  4. Step 4: Simplify right side
    9,649.92x = 72,692,017.22
  5. Step 5: Solve for x
    x = 72,692,017.22/9,649.92
  6. Step 6: Final answer
    x = 7,532.91

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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.