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Finding the Fourth Proportional to 9,131.16, 12,596.16 and 6,293.59

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Solution

The fourth proportional to 9,131.16, 12,596.16 and 6,293.59 is: 8,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.16 : 12,596.16 = 6,293.59 : x
  2. Step 2: Convert to fraction form
    9,131.16/12,596.16 = 6,293.59/x
  3. Step 3: Cross multiply
    9,131.16x = 12,596.16 × 6,293.59
  4. Step 4: Simplify right side
    9,131.16x = 79,275,066.61
  5. Step 5: Solve for x
    x = 79,275,066.61/9,131.16
  6. Step 6: Final answer
    x = 8,681.82

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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.