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Finding the Fourth Proportional to 9,335.68, 14,001.56 and 4,138.24

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Solution

The fourth proportional to 9,335.68, 14,001.56 and 4,138.24 is: 6,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.68 : 14,001.56 = 4,138.24 : x
  2. Step 2: Convert to fraction form
    9,335.68/14,001.56 = 4,138.24/x
  3. Step 3: Cross multiply
    9,335.68x = 14,001.56 × 4,138.24
  4. Step 4: Simplify right side
    9,335.68x = 57,941,815.65
  5. Step 5: Solve for x
    x = 57,941,815.65/9,335.68
  6. Step 6: Final answer
    x = 6,206.49

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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.