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Finding the Fourth Proportional to 9,397.96, 14,079.21 and 7,307.83

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Solution

The fourth proportional to 9,397.96, 14,079.21 and 7,307.83 is: 10,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.96 : 14,079.21 = 7,307.83 : x
  2. Step 2: Convert to fraction form
    9,397.96/14,079.21 = 7,307.83/x
  3. Step 3: Cross multiply
    9,397.96x = 14,079.21 × 7,307.83
  4. Step 4: Simplify right side
    9,397.96x = 102,888,473.21
  5. Step 5: Solve for x
    x = 102,888,473.21/9,397.96
  6. Step 6: Final answer
    x = 10,947.96

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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.