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Finding the Fourth Proportional to 9,134.32, 13,702.56 and 2,894.62

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Solution

The fourth proportional to 9,134.32, 13,702.56 and 2,894.62 is: 4,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.32 : 13,702.56 = 2,894.62 : x
  2. Step 2: Convert to fraction form
    9,134.32/13,702.56 = 2,894.62/x
  3. Step 3: Cross multiply
    9,134.32x = 13,702.56 × 2,894.62
  4. Step 4: Simplify right side
    9,134.32x = 39,663,704.23
  5. Step 5: Solve for x
    x = 39,663,704.23/9,134.32
  6. Step 6: Final answer
    x = 4,342.27

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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.