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Finding the Fourth Proportional to 9,414.81, 12,988.73 and 5,435.15

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Solution

The fourth proportional to 9,414.81, 12,988.73 and 5,435.15 is: 7,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.81 : 12,988.73 = 5,435.15 : x
  2. Step 2: Convert to fraction form
    9,414.81/12,988.73 = 5,435.15/x
  3. Step 3: Cross multiply
    9,414.81x = 12,988.73 × 5,435.15
  4. Step 4: Simplify right side
    9,414.81x = 70,595,702.28
  5. Step 5: Solve for x
    x = 70,595,702.28/9,414.81
  6. Step 6: Final answer
    x = 7,498.37

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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.