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Finding the Fourth Proportional to 8,977.68, 12,389.46 and 5,201.46

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Solution

The fourth proportional to 8,977.68, 12,389.46 and 5,201.46 is: 7,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.68 : 12,389.46 = 5,201.46 : x
  2. Step 2: Convert to fraction form
    8,977.68/12,389.46 = 5,201.46/x
  3. Step 3: Cross multiply
    8,977.68x = 12,389.46 × 5,201.46
  4. Step 4: Simplify right side
    8,977.68x = 64,443,280.61
  5. Step 5: Solve for x
    x = 64,443,280.61/8,977.68
  6. Step 6: Final answer
    x = 7,178.17

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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.