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Finding the Fourth Proportional to 6,484.50, 9,726.42 and 2,972.46

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Solution

The fourth proportional to 6,484.50, 9,726.42 and 2,972.46 is: 4,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.50 : 9,726.42 = 2,972.46 : x
  2. Step 2: Convert to fraction form
    6,484.50/9,726.42 = 2,972.46/x
  3. Step 3: Cross multiply
    6,484.50x = 9,726.42 × 2,972.46
  4. Step 4: Simplify right side
    6,484.50x = 28,911,394.39
  5. Step 5: Solve for x
    x = 28,911,394.39/6,484.50
  6. Step 6: Final answer
    x = 4,458.54

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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.