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Finding the Fourth Proportional to 9,131.59, 12,601.61 and 5,153.07

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Solution

The fourth proportional to 9,131.59, 12,601.61 and 5,153.07 is: 7,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.59 : 12,601.61 = 5,153.07 : x
  2. Step 2: Convert to fraction form
    9,131.59/12,601.61 = 5,153.07/x
  3. Step 3: Cross multiply
    9,131.59x = 12,601.61 × 5,153.07
  4. Step 4: Simplify right side
    9,131.59x = 64,936,952.68
  5. Step 5: Solve for x
    x = 64,936,952.68/9,131.59
  6. Step 6: Final answer
    x = 7,111.24

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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.