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Finding the Fourth Proportional to 6,455.70, 9,671.52 and 5,422.41

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Solution

The fourth proportional to 6,455.70, 9,671.52 and 5,422.41 is: 8,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,671.52 = 5,422.41 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,671.52 = 5,422.41/x
  3. Step 3: Cross multiply
    6,455.70x = 9,671.52 × 5,422.41
  4. Step 4: Simplify right side
    6,455.70x = 52,442,946.76
  5. Step 5: Solve for x
    x = 52,442,946.76/6,455.70
  6. Step 6: Final answer
    x = 8,123.51

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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.