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Finding the Fourth Proportional to 6,731.54, 9,293.76 and 4,342.40

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Solution

The fourth proportional to 6,731.54, 9,293.76 and 4,342.40 is: 5,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.54 : 9,293.76 = 4,342.40 : x
  2. Step 2: Convert to fraction form
    6,731.54/9,293.76 = 4,342.40/x
  3. Step 3: Cross multiply
    6,731.54x = 9,293.76 × 4,342.40
  4. Step 4: Simplify right side
    6,731.54x = 40,357,223.42
  5. Step 5: Solve for x
    x = 40,357,223.42/6,731.54
  6. Step 6: Final answer
    x = 5,995.24

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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.