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Finding the Fourth Proportional to 9,589.77, 14,380.34 and 5,642.91

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Solution

The fourth proportional to 9,589.77, 14,380.34 and 5,642.91 is: 8,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.77 : 14,380.34 = 5,642.91 : x
  2. Step 2: Convert to fraction form
    9,589.77/14,380.34 = 5,642.91/x
  3. Step 3: Cross multiply
    9,589.77x = 14,380.34 × 5,642.91
  4. Step 4: Simplify right side
    9,589.77x = 81,146,936.17
  5. Step 5: Solve for x
    x = 81,146,936.17/9,589.77
  6. Step 6: Final answer
    x = 8,461.82

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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.