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Finding the Fourth Proportional to 9,128.64, 12,597.52 and 5,149.66

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Solution

The fourth proportional to 9,128.64, 12,597.52 and 5,149.66 is: 7,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.64 : 12,597.52 = 5,149.66 : x
  2. Step 2: Convert to fraction form
    9,128.64/12,597.52 = 5,149.66/x
  3. Step 3: Cross multiply
    9,128.64x = 12,597.52 × 5,149.66
  4. Step 4: Simplify right side
    9,128.64x = 64,872,983.28
  5. Step 5: Solve for x
    x = 64,872,983.28/9,128.64
  6. Step 6: Final answer
    x = 7,106.54

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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.