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Finding the Fourth Proportional to 9,139.50, 12,613.08 and 5,159.16

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Solution

The fourth proportional to 9,139.50, 12,613.08 and 5,159.16 is: 7,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.50 : 12,613.08 = 5,159.16 : x
  2. Step 2: Convert to fraction form
    9,139.50/12,613.08 = 5,159.16/x
  3. Step 3: Cross multiply
    9,139.50x = 12,613.08 × 5,159.16
  4. Step 4: Simplify right side
    9,139.50x = 65,072,897.81
  5. Step 5: Solve for x
    x = 65,072,897.81/9,139.50
  6. Step 6: Final answer
    x = 7,119.96

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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.