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Finding the Fourth Proportional to 6,864.95, 9,472.55 and 3,880.10

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Solution

The fourth proportional to 6,864.95, 9,472.55 and 3,880.10 is: 5,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.95 : 9,472.55 = 3,880.10 : x
  2. Step 2: Convert to fraction form
    6,864.95/9,472.55 = 3,880.10/x
  3. Step 3: Cross multiply
    6,864.95x = 9,472.55 × 3,880.10
  4. Step 4: Simplify right side
    6,864.95x = 36,754,445.54
  5. Step 5: Solve for x
    x = 36,754,445.54/6,864.95
  6. Step 6: Final answer
    x = 5,353.93

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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.