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Finding the Fourth Proportional to 6,506.48, 9,762.46 and 3,387.29

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Solution

The fourth proportional to 6,506.48, 9,762.46 and 3,387.29 is: 5,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.48 : 9,762.46 = 3,387.29 : x
  2. Step 2: Convert to fraction form
    6,506.48/9,762.46 = 3,387.29/x
  3. Step 3: Cross multiply
    6,506.48x = 9,762.46 × 3,387.29
  4. Step 4: Simplify right side
    6,506.48x = 33,068,225.85
  5. Step 5: Solve for x
    x = 33,068,225.85/6,506.48
  6. Step 6: Final answer
    x = 5,082.35

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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.