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Finding the Fourth Proportional to 9,778.56, 13,490.88 and 6,423.20

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Solution

The fourth proportional to 9,778.56, 13,490.88 and 6,423.20 is: 8,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.56 : 13,490.88 = 6,423.20 : x
  2. Step 2: Convert to fraction form
    9,778.56/13,490.88 = 6,423.20/x
  3. Step 3: Cross multiply
    9,778.56x = 13,490.88 × 6,423.20
  4. Step 4: Simplify right side
    9,778.56x = 86,654,620.42
  5. Step 5: Solve for x
    x = 86,654,620.42/9,778.56
  6. Step 6: Final answer
    x = 8,861.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.