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Finding the Fourth Proportional to 9,701.73, 14,555.16 and 5,257.42

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Solution

The fourth proportional to 9,701.73, 14,555.16 and 5,257.42 is: 7,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.73 : 14,555.16 = 5,257.42 : x
  2. Step 2: Convert to fraction form
    9,701.73/14,555.16 = 5,257.42/x
  3. Step 3: Cross multiply
    9,701.73x = 14,555.16 × 5,257.42
  4. Step 4: Simplify right side
    9,701.73x = 76,522,634.77
  5. Step 5: Solve for x
    x = 76,522,634.77/9,701.73
  6. Step 6: Final answer
    x = 7,887.52

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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.