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Finding the Fourth Proportional to 9,885.06, 14,757.12 and 9,538.98

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Solution

The fourth proportional to 9,885.06, 14,757.12 and 9,538.98 is: 14,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.06 : 14,757.12 = 9,538.98 : x
  2. Step 2: Convert to fraction form
    9,885.06/14,757.12 = 9,538.98/x
  3. Step 3: Cross multiply
    9,885.06x = 14,757.12 × 9,538.98
  4. Step 4: Simplify right side
    9,885.06x = 140,767,872.54
  5. Step 5: Solve for x
    x = 140,767,872.54/9,885.06
  6. Step 6: Final answer
    x = 14,240.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.