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Finding the Fourth Proportional to 6,616.16, 9,929.02 and 2,456.76

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Solution

The fourth proportional to 6,616.16, 9,929.02 and 2,456.76 is: 3,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.16 : 9,929.02 = 2,456.76 : x
  2. Step 2: Convert to fraction form
    6,616.16/9,929.02 = 2,456.76/x
  3. Step 3: Cross multiply
    6,616.16x = 9,929.02 × 2,456.76
  4. Step 4: Simplify right side
    6,616.16x = 24,393,219.18
  5. Step 5: Solve for x
    x = 24,393,219.18/6,616.16
  6. Step 6: Final answer
    x = 3,686.91

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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.