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Finding the Fourth Proportional to 9,124.47, 12,588.68 and 7,442.96

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Solution

The fourth proportional to 9,124.47, 12,588.68 and 7,442.96 is: 10,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.47 : 12,588.68 = 7,442.96 : x
  2. Step 2: Convert to fraction form
    9,124.47/12,588.68 = 7,442.96/x
  3. Step 3: Cross multiply
    9,124.47x = 12,588.68 × 7,442.96
  4. Step 4: Simplify right side
    9,124.47x = 93,696,997.36
  5. Step 5: Solve for x
    x = 93,696,997.36/9,124.47
  6. Step 6: Final answer
    x = 10,268.76

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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.