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Finding the Fourth Proportional to 6,342.56, 9,509.88 and 2,445.20

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Solution

The fourth proportional to 6,342.56, 9,509.88 and 2,445.20 is: 3,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.56 : 9,509.88 = 2,445.20 : x
  2. Step 2: Convert to fraction form
    6,342.56/9,509.88 = 2,445.20/x
  3. Step 3: Cross multiply
    6,342.56x = 9,509.88 × 2,445.20
  4. Step 4: Simplify right side
    6,342.56x = 23,253,558.58
  5. Step 5: Solve for x
    x = 23,253,558.58/6,342.56
  6. Step 6: Final answer
    x = 3,666.27

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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.