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Finding the Fourth Proportional to 9,298.80, 12,836.88 and 7,302.96

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Solution

The fourth proportional to 9,298.80, 12,836.88 and 7,302.96 is: 10,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.80 : 12,836.88 = 7,302.96 : x
  2. Step 2: Convert to fraction form
    9,298.80/12,836.88 = 7,302.96/x
  3. Step 3: Cross multiply
    9,298.80x = 12,836.88 × 7,302.96
  4. Step 4: Simplify right side
    9,298.80x = 93,747,221.16
  5. Step 5: Solve for x
    x = 93,747,221.16/9,298.80
  6. Step 6: Final answer
    x = 10,081.65

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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.