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Finding the Fourth Proportional to 9,883.58, 14,754.92 and 9,537.48

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Solution

The fourth proportional to 9,883.58, 14,754.92 and 9,537.48 is: 14,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.58 : 14,754.92 = 9,537.48 : x
  2. Step 2: Convert to fraction form
    9,883.58/14,754.92 = 9,537.48/x
  3. Step 3: Cross multiply
    9,883.58x = 14,754.92 × 9,537.48
  4. Step 4: Simplify right side
    9,883.58x = 140,724,706.71
  5. Step 5: Solve for x
    x = 140,724,706.71/9,883.58
  6. Step 6: Final answer
    x = 14,238.24

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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.