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Finding the Fourth Proportional to 7,047.69, 9,715.46 and 5,366.17

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Solution

The fourth proportional to 7,047.69, 9,715.46 and 5,366.17 is: 7,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.69 : 9,715.46 = 5,366.17 : x
  2. Step 2: Convert to fraction form
    7,047.69/9,715.46 = 5,366.17/x
  3. Step 3: Cross multiply
    7,047.69x = 9,715.46 × 5,366.17
  4. Step 4: Simplify right side
    7,047.69x = 52,134,809.99
  5. Step 5: Solve for x
    x = 52,134,809.99/7,047.69
  6. Step 6: Final answer
    x = 7,397.43

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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.