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Finding the Fourth Proportional to 9,029.16, 13,538.72 and 2,787.40

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Solution

The fourth proportional to 9,029.16, 13,538.72 and 2,787.40 is: 4,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.16 : 13,538.72 = 2,787.40 : x
  2. Step 2: Convert to fraction form
    9,029.16/13,538.72 = 2,787.40/x
  3. Step 3: Cross multiply
    9,029.16x = 13,538.72 × 2,787.40
  4. Step 4: Simplify right side
    9,029.16x = 37,737,828.13
  5. Step 5: Solve for x
    x = 37,737,828.13/9,029.16
  6. Step 6: Final answer
    x = 4,179.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.