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Finding the Fourth Proportional to 9,901.46, 13,658.84 and 6,123.42

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Solution

The fourth proportional to 9,901.46, 13,658.84 and 6,123.42 is: 8,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.46 : 13,658.84 = 6,123.42 : x
  2. Step 2: Convert to fraction form
    9,901.46/13,658.84 = 6,123.42/x
  3. Step 3: Cross multiply
    9,901.46x = 13,658.84 × 6,123.42
  4. Step 4: Simplify right side
    9,901.46x = 83,638,814.03
  5. Step 5: Solve for x
    x = 83,638,814.03/9,901.46
  6. Step 6: Final answer
    x = 8,447.12

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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.