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Finding the Fourth Proportional to 8,948.64, 12,349.68 and 5,412

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Solution

The fourth proportional to 8,948.64, 12,349.68 and 5,412 is: 7,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.64 : 12,349.68 = 5,412 : x
  2. Step 2: Convert to fraction form
    8,948.64/12,349.68 = 5,412/x
  3. Step 3: Cross multiply
    8,948.64x = 12,349.68 × 5,412
  4. Step 4: Simplify right side
    8,948.64x = 66,836,468.16
  5. Step 5: Solve for x
    x = 66,836,468.16/8,948.64
  6. Step 6: Final answer
    x = 7,468.90

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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.