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Finding the Fourth Proportional to 9,123.80, 13,685.28 and 6,342.24

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Solution

The fourth proportional to 9,123.80, 13,685.28 and 6,342.24 is: 9,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.80 : 13,685.28 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    9,123.80/13,685.28 = 6,342.24/x
  3. Step 3: Cross multiply
    9,123.80x = 13,685.28 × 6,342.24
  4. Step 4: Simplify right side
    9,123.80x = 86,795,330.23
  5. Step 5: Solve for x
    x = 86,795,330.23/9,123.80
  6. Step 6: Final answer
    x = 9,513.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.