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Finding the Fourth Proportional to 7,047.30, 9,713.61 and 5,366.82

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Solution

The fourth proportional to 7,047.30, 9,713.61 and 5,366.82 is: 7,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.30 : 9,713.61 = 5,366.82 : x
  2. Step 2: Convert to fraction form
    7,047.30/9,713.61 = 5,366.82/x
  3. Step 3: Cross multiply
    7,047.30x = 9,713.61 × 5,366.82
  4. Step 4: Simplify right side
    7,047.30x = 52,131,196.42
  5. Step 5: Solve for x
    x = 52,131,196.42/7,047.30
  6. Step 6: Final answer
    x = 7,397.33

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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.