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Finding the Fourth Proportional to 9,378.84, 12,948 and 6,399.12

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Solution

The fourth proportional to 9,378.84, 12,948 and 6,399.12 is: 8,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.84 : 12,948 = 6,399.12 : x
  2. Step 2: Convert to fraction form
    9,378.84/12,948 = 6,399.12/x
  3. Step 3: Cross multiply
    9,378.84x = 12,948 × 6,399.12
  4. Step 4: Simplify right side
    9,378.84x = 82,855,805.76
  5. Step 5: Solve for x
    x = 82,855,805.76/9,378.84
  6. Step 6: Final answer
    x = 8,834.33

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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.