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Finding the Fourth Proportional to 7,069.17, 9,752.66 and 4,084.46

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Solution

The fourth proportional to 7,069.17, 9,752.66 and 4,084.46 is: 5,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.17 : 9,752.66 = 4,084.46 : x
  2. Step 2: Convert to fraction form
    7,069.17/9,752.66 = 4,084.46/x
  3. Step 3: Cross multiply
    7,069.17x = 9,752.66 × 4,084.46
  4. Step 4: Simplify right side
    7,069.17x = 39,834,295.79
  5. Step 5: Solve for x
    x = 39,834,295.79/7,069.17
  6. Step 6: Final answer
    x = 5,634.93

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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.