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Finding the Fourth Proportional to 8,440.49, 12,648.85 and 6,458.45

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Solution

The fourth proportional to 8,440.49, 12,648.85 and 6,458.45 is: 9,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.49 : 12,648.85 = 6,458.45 : x
  2. Step 2: Convert to fraction form
    8,440.49/12,648.85 = 6,458.45/x
  3. Step 3: Cross multiply
    8,440.49x = 12,648.85 × 6,458.45
  4. Step 4: Simplify right side
    8,440.49x = 81,691,965.28
  5. Step 5: Solve for x
    x = 81,691,965.28/8,440.49
  6. Step 6: Final answer
    x = 9,678.58

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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.