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Finding the Fourth Proportional to 9,854.71, 13,599.39 and 5,378.42

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Solution

The fourth proportional to 9,854.71, 13,599.39 and 5,378.42 is: 7,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.71 : 13,599.39 = 5,378.42 : x
  2. Step 2: Convert to fraction form
    9,854.71/13,599.39 = 5,378.42/x
  3. Step 3: Cross multiply
    9,854.71x = 13,599.39 × 5,378.42
  4. Step 4: Simplify right side
    9,854.71x = 73,143,265.16
  5. Step 5: Solve for x
    x = 73,143,265.16/9,854.71
  6. Step 6: Final answer
    x = 7,422.17

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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.