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Finding the Fourth Proportional to 9,642.66, 14,454.06 and 6,135.27

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Solution

The fourth proportional to 9,642.66, 14,454.06 and 6,135.27 is: 9,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.66 : 14,454.06 = 6,135.27 : x
  2. Step 2: Convert to fraction form
    9,642.66/14,454.06 = 6,135.27/x
  3. Step 3: Cross multiply
    9,642.66x = 14,454.06 × 6,135.27
  4. Step 4: Simplify right side
    9,642.66x = 88,679,560.70
  5. Step 5: Solve for x
    x = 88,679,560.70/9,642.66
  6. Step 6: Final answer
    x = 9,196.59

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Why These Related Problems?

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