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Finding the Fourth Proportional to 9,901.26, 13,658.56 and 6,123.22

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Solution

The fourth proportional to 9,901.26, 13,658.56 and 6,123.22 is: 8,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.26 : 13,658.56 = 6,123.22 : x
  2. Step 2: Convert to fraction form
    9,901.26/13,658.56 = 6,123.22/x
  3. Step 3: Cross multiply
    9,901.26x = 13,658.56 × 6,123.22
  4. Step 4: Simplify right side
    9,901.26x = 83,634,367.76
  5. Step 5: Solve for x
    x = 83,634,367.76/9,901.26
  6. Step 6: Final answer
    x = 8,446.84

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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.