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Finding the Fourth Proportional to 6,298.27, 9,484.90 and 5,486.35

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Solution

The fourth proportional to 6,298.27, 9,484.90 and 5,486.35 is: 8,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.27 : 9,484.90 = 5,486.35 : x
  2. Step 2: Convert to fraction form
    6,298.27/9,484.90 = 5,486.35/x
  3. Step 3: Cross multiply
    6,298.27x = 9,484.90 × 5,486.35
  4. Step 4: Simplify right side
    6,298.27x = 52,037,481.12
  5. Step 5: Solve for x
    x = 52,037,481.12/6,298.27
  6. Step 6: Final answer
    x = 8,262.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.