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Finding the Fourth Proportional to 6,547.98, 9,818.70 and 3,262.89

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Solution

The fourth proportional to 6,547.98, 9,818.70 and 3,262.89 is: 4,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.98 : 9,818.70 = 3,262.89 : x
  2. Step 2: Convert to fraction form
    6,547.98/9,818.70 = 3,262.89/x
  3. Step 3: Cross multiply
    6,547.98x = 9,818.70 × 3,262.89
  4. Step 4: Simplify right side
    6,547.98x = 32,037,338.04
  5. Step 5: Solve for x
    x = 32,037,338.04/6,547.98
  6. Step 6: Final answer
    x = 4,892.71

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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.