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Finding the Fourth Proportional to 9,818.48, 13,543.80 and 6,086

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Solution

The fourth proportional to 9,818.48, 13,543.80 and 6,086 is: 8,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.48 : 13,543.80 = 6,086 : x
  2. Step 2: Convert to fraction form
    9,818.48/13,543.80 = 6,086/x
  3. Step 3: Cross multiply
    9,818.48x = 13,543.80 × 6,086
  4. Step 4: Simplify right side
    9,818.48x = 82,427,566.80
  5. Step 5: Solve for x
    x = 82,427,566.80/9,818.48
  6. Step 6: Final answer
    x = 8,395.15

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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.