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Finding the Fourth Proportional to 9,131.59, 12,601.31 and 5,152.65

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Solution

The fourth proportional to 9,131.59, 12,601.31 and 5,152.65 is: 7,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.59 : 12,601.31 = 5,152.65 : x
  2. Step 2: Convert to fraction form
    9,131.59/12,601.31 = 5,152.65/x
  3. Step 3: Cross multiply
    9,131.59x = 12,601.31 × 5,152.65
  4. Step 4: Simplify right side
    9,131.59x = 64,930,051.20
  5. Step 5: Solve for x
    x = 64,930,051.20/9,131.59
  6. Step 6: Final answer
    x = 7,110.49

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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.