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Finding the Fourth Proportional to 6,836.46, 9,434.76 and 5,154.90

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Solution

The fourth proportional to 6,836.46, 9,434.76 and 5,154.90 is: 7,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.46 : 9,434.76 = 5,154.90 : x
  2. Step 2: Convert to fraction form
    6,836.46/9,434.76 = 5,154.90/x
  3. Step 3: Cross multiply
    6,836.46x = 9,434.76 × 5,154.90
  4. Step 4: Simplify right side
    6,836.46x = 48,635,244.32
  5. Step 5: Solve for x
    x = 48,635,244.32/6,836.46
  6. Step 6: Final answer
    x = 7,114.10

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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.