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Finding the Fourth Proportional to 9,417.74, 12,998.87 and 6,434.78

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Solution

The fourth proportional to 9,417.74, 12,998.87 and 6,434.78 is: 8,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.74 : 12,998.87 = 6,434.78 : x
  2. Step 2: Convert to fraction form
    9,417.74/12,998.87 = 6,434.78/x
  3. Step 3: Cross multiply
    9,417.74x = 12,998.87 × 6,434.78
  4. Step 4: Simplify right side
    9,417.74x = 83,644,868.70
  5. Step 5: Solve for x
    x = 83,644,868.70/9,417.74
  6. Step 6: Final answer
    x = 8,881.63

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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.