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Finding the Fourth Proportional to 9,778.32, 14,639.50 and 6,484.86

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Solution

The fourth proportional to 9,778.32, 14,639.50 and 6,484.86 is: 9,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 14,639.50 = 6,484.86 : x
  2. Step 2: Convert to fraction form
    9,778.32/14,639.50 = 6,484.86/x
  3. Step 3: Cross multiply
    9,778.32x = 14,639.50 × 6,484.86
  4. Step 4: Simplify right side
    9,778.32x = 94,935,107.97
  5. Step 5: Solve for x
    x = 94,935,107.97/9,778.32
  6. Step 6: Final answer
    x = 9,708.73

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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.