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Finding the Fourth Proportional to 9,585.71, 13,227.33 and 7,069.17

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Solution

The fourth proportional to 9,585.71, 13,227.33 and 7,069.17 is: 9,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.71 : 13,227.33 = 7,069.17 : x
  2. Step 2: Convert to fraction form
    9,585.71/13,227.33 = 7,069.17/x
  3. Step 3: Cross multiply
    9,585.71x = 13,227.33 × 7,069.17
  4. Step 4: Simplify right side
    9,585.71x = 93,506,320.53
  5. Step 5: Solve for x
    x = 93,506,320.53/9,585.71
  6. Step 6: Final answer
    x = 9,754.76

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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.