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Finding the Fourth Proportional to 9,616.86, 14,432.60 and 6,489.45

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Solution

The fourth proportional to 9,616.86, 14,432.60 and 6,489.45 is: 9,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.86 : 14,432.60 = 6,489.45 : x
  2. Step 2: Convert to fraction form
    9,616.86/14,432.60 = 6,489.45/x
  3. Step 3: Cross multiply
    9,616.86x = 14,432.60 × 6,489.45
  4. Step 4: Simplify right side
    9,616.86x = 93,659,636.07
  5. Step 5: Solve for x
    x = 93,659,636.07/9,616.86
  6. Step 6: Final answer
    x = 9,739.11

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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.