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Finding the Fourth Proportional to 6,356.56, 9,530.88 and 2,459.20

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Solution

The fourth proportional to 6,356.56, 9,530.88 and 2,459.20 is: 3,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.56 : 9,530.88 = 2,459.20 : x
  2. Step 2: Convert to fraction form
    6,356.56/9,530.88 = 2,459.20/x
  3. Step 3: Cross multiply
    6,356.56x = 9,530.88 × 2,459.20
  4. Step 4: Simplify right side
    6,356.56x = 23,438,340.10
  5. Step 5: Solve for x
    x = 23,438,340.10/6,356.56
  6. Step 6: Final answer
    x = 3,687.27

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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.