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Finding the Fourth Proportional to 9,411.49, 12,987.92 and 6,427.25

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Solution

The fourth proportional to 9,411.49, 12,987.92 and 6,427.25 is: 8,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.49 : 12,987.92 = 6,427.25 : x
  2. Step 2: Convert to fraction form
    9,411.49/12,987.92 = 6,427.25/x
  3. Step 3: Cross multiply
    9,411.49x = 12,987.92 × 6,427.25
  4. Step 4: Simplify right side
    9,411.49x = 83,476,559.95
  5. Step 5: Solve for x
    x = 83,476,559.95/9,411.49
  6. Step 6: Final answer
    x = 8,869.65

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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.