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Finding the Fourth Proportional to 6,531.89, 9,013.76 and 3,547.66

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Solution

The fourth proportional to 6,531.89, 9,013.76 and 3,547.66 is: 4,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.89 : 9,013.76 = 3,547.66 : x
  2. Step 2: Convert to fraction form
    6,531.89/9,013.76 = 3,547.66/x
  3. Step 3: Cross multiply
    6,531.89x = 9,013.76 × 3,547.66
  4. Step 4: Simplify right side
    6,531.89x = 31,977,755.80
  5. Step 5: Solve for x
    x = 31,977,755.80/6,531.89
  6. Step 6: Final answer
    x = 4,895.64

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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.