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Finding the Fourth Proportional to 9,131.88, 12,599.32 and 6,151.08

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Solution

The fourth proportional to 9,131.88, 12,599.32 and 6,151.08 is: 8,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.88 : 12,599.32 = 6,151.08 : x
  2. Step 2: Convert to fraction form
    9,131.88/12,599.32 = 6,151.08/x
  3. Step 3: Cross multiply
    9,131.88x = 12,599.32 × 6,151.08
  4. Step 4: Simplify right side
    9,131.88x = 77,499,425.27
  5. Step 5: Solve for x
    x = 77,499,425.27/9,131.88
  6. Step 6: Final answer
    x = 8,486.69

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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.