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Finding the Fourth Proportional to 9,240.16, 13,865.13 and 5,347.30

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Solution

The fourth proportional to 9,240.16, 13,865.13 and 5,347.30 is: 8,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.16 : 13,865.13 = 5,347.30 : x
  2. Step 2: Convert to fraction form
    9,240.16/13,865.13 = 5,347.30/x
  3. Step 3: Cross multiply
    9,240.16x = 13,865.13 × 5,347.30
  4. Step 4: Simplify right side
    9,240.16x = 74,141,009.65
  5. Step 5: Solve for x
    x = 74,141,009.65/9,240.16
  6. Step 6: Final answer
    x = 8,023.78

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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.