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Finding the Fourth Proportional to 6,531.82, 9,013.87 and 3,547.65

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Solution

The fourth proportional to 6,531.82, 9,013.87 and 3,547.65 is: 4,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.82 : 9,013.87 = 3,547.65 : x
  2. Step 2: Convert to fraction form
    6,531.82/9,013.87 = 3,547.65/x
  3. Step 3: Cross multiply
    6,531.82x = 9,013.87 × 3,547.65
  4. Step 4: Simplify right side
    6,531.82x = 31,978,055.91
  5. Step 5: Solve for x
    x = 31,978,055.91/6,531.82
  6. Step 6: Final answer
    x = 4,895.73

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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.