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Finding the Fourth Proportional to 9,113.60, 12,576.71 and 5,134.73

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Solution

The fourth proportional to 9,113.60, 12,576.71 and 5,134.73 is: 7,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.60 : 12,576.71 = 5,134.73 : x
  2. Step 2: Convert to fraction form
    9,113.60/12,576.71 = 5,134.73/x
  3. Step 3: Cross multiply
    9,113.60x = 12,576.71 × 5,134.73
  4. Step 4: Simplify right side
    9,113.60x = 64,577,921.58
  5. Step 5: Solve for x
    x = 64,577,921.58/9,113.60
  6. Step 6: Final answer
    x = 7,085.89

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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.