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Finding the Fourth Proportional to 9,429.24, 13,008.72 and 7,188.80

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Solution

The fourth proportional to 9,429.24, 13,008.72 and 7,188.80 is: 9,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.24 : 13,008.72 = 7,188.80 : x
  2. Step 2: Convert to fraction form
    9,429.24/13,008.72 = 7,188.80/x
  3. Step 3: Cross multiply
    9,429.24x = 13,008.72 × 7,188.80
  4. Step 4: Simplify right side
    9,429.24x = 93,517,086.34
  5. Step 5: Solve for x
    x = 93,517,086.34/9,429.24
  6. Step 6: Final answer
    x = 9,917.78

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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.