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Finding the Fourth Proportional to 9,139.74, 12,613.44 and 5,160.96

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Solution

The fourth proportional to 9,139.74, 12,613.44 and 5,160.96 is: 7,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.74 : 12,613.44 = 5,160.96 : x
  2. Step 2: Convert to fraction form
    9,139.74/12,613.44 = 5,160.96/x
  3. Step 3: Cross multiply
    9,139.74x = 12,613.44 × 5,160.96
  4. Step 4: Simplify right side
    9,139.74x = 65,097,459.30
  5. Step 5: Solve for x
    x = 65,097,459.30/9,139.74
  6. Step 6: Final answer
    x = 7,122.46

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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.