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Finding the Fourth Proportional to 6,526.60, 9,002.60 and 3,872.13

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Solution

The fourth proportional to 6,526.60, 9,002.60 and 3,872.13 is: 5,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.60 : 9,002.60 = 3,872.13 : x
  2. Step 2: Convert to fraction form
    6,526.60/9,002.60 = 3,872.13/x
  3. Step 3: Cross multiply
    6,526.60x = 9,002.60 × 3,872.13
  4. Step 4: Simplify right side
    6,526.60x = 34,859,237.54
  5. Step 5: Solve for x
    x = 34,859,237.54/6,526.60
  6. Step 6: Final answer
    x = 5,341.10

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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.