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Finding the Fourth Proportional to 9,107.90, 13,644.35 and 5,587.64

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Solution

The fourth proportional to 9,107.90, 13,644.35 and 5,587.64 is: 8,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.90 : 13,644.35 = 5,587.64 : x
  2. Step 2: Convert to fraction form
    9,107.90/13,644.35 = 5,587.64/x
  3. Step 3: Cross multiply
    9,107.90x = 13,644.35 × 5,587.64
  4. Step 4: Simplify right side
    9,107.90x = 76,239,619.67
  5. Step 5: Solve for x
    x = 76,239,619.67/9,107.90
  6. Step 6: Final answer
    x = 8,370.72

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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.