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Finding the Fourth Proportional to 6,352.02, 9,522.56 and 2,459.16

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Solution

The fourth proportional to 6,352.02, 9,522.56 and 2,459.16 is: 3,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.02 : 9,522.56 = 2,459.16 : x
  2. Step 2: Convert to fraction form
    6,352.02/9,522.56 = 2,459.16/x
  3. Step 3: Cross multiply
    6,352.02x = 9,522.56 × 2,459.16
  4. Step 4: Simplify right side
    6,352.02x = 23,417,498.65
  5. Step 5: Solve for x
    x = 23,417,498.65/6,352.02
  6. Step 6: Final answer
    x = 3,686.62

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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.