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Finding the Fourth Proportional to 9,025.68, 12,455.64 and 6,377.76

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Solution

The fourth proportional to 9,025.68, 12,455.64 and 6,377.76 is: 8,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.68 : 12,455.64 = 6,377.76 : x
  2. Step 2: Convert to fraction form
    9,025.68/12,455.64 = 6,377.76/x
  3. Step 3: Cross multiply
    9,025.68x = 12,455.64 × 6,377.76
  4. Step 4: Simplify right side
    9,025.68x = 79,439,082.57
  5. Step 5: Solve for x
    x = 79,439,082.57/9,025.68
  6. Step 6: Final answer
    x = 8,801.45

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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.