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Finding the Fourth Proportional to 9,770.18, 14,660.52 and 6,484.82

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Solution

The fourth proportional to 9,770.18, 14,660.52 and 6,484.82 is: 9,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.18 : 14,660.52 = 6,484.82 : x
  2. Step 2: Convert to fraction form
    9,770.18/14,660.52 = 6,484.82/x
  3. Step 3: Cross multiply
    9,770.18x = 14,660.52 × 6,484.82
  4. Step 4: Simplify right side
    9,770.18x = 95,070,833.31
  5. Step 5: Solve for x
    x = 95,070,833.31/9,770.18
  6. Step 6: Final answer
    x = 9,730.71

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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.