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Finding the Fourth Proportional to 9,691.41, 14,540.76 and 5,798.55

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Solution

The fourth proportional to 9,691.41, 14,540.76 and 5,798.55 is: 8,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.41 : 14,540.76 = 5,798.55 : x
  2. Step 2: Convert to fraction form
    9,691.41/14,540.76 = 5,798.55/x
  3. Step 3: Cross multiply
    9,691.41x = 14,540.76 × 5,798.55
  4. Step 4: Simplify right side
    9,691.41x = 84,315,323.90
  5. Step 5: Solve for x
    x = 84,315,323.90/9,691.41
  6. Step 6: Final answer
    x = 8,700.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.