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Finding the Fourth Proportional to 9,135.74, 12,607.90 and 5,155.40

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Solution

The fourth proportional to 9,135.74, 12,607.90 and 5,155.40 is: 7,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.74 : 12,607.90 = 5,155.40 : x
  2. Step 2: Convert to fraction form
    9,135.74/12,607.90 = 5,155.40/x
  3. Step 3: Cross multiply
    9,135.74x = 12,607.90 × 5,155.40
  4. Step 4: Simplify right side
    9,135.74x = 64,998,691.73
  5. Step 5: Solve for x
    x = 64,998,691.73/9,135.74
  6. Step 6: Final answer
    x = 7,114.77

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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.