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Finding the Fourth Proportional to 9,913.34, 14,863.39 and 5,228.42

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Solution

The fourth proportional to 9,913.34, 14,863.39 and 5,228.42 is: 7,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.34 : 14,863.39 = 5,228.42 : x
  2. Step 2: Convert to fraction form
    9,913.34/14,863.39 = 5,228.42/x
  3. Step 3: Cross multiply
    9,913.34x = 14,863.39 × 5,228.42
  4. Step 4: Simplify right side
    9,913.34x = 77,711,958.16
  5. Step 5: Solve for x
    x = 77,711,958.16/9,913.34
  6. Step 6: Final answer
    x = 7,839.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.