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Finding the Fourth Proportional to 6,531.79, 9,013.94 and 3,547.66

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Solution

The fourth proportional to 6,531.79, 9,013.94 and 3,547.66 is: 4,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.79 : 9,013.94 = 3,547.66 : x
  2. Step 2: Convert to fraction form
    6,531.79/9,013.94 = 3,547.66/x
  3. Step 3: Cross multiply
    6,531.79x = 9,013.94 × 3,547.66
  4. Step 4: Simplify right side
    6,531.79x = 31,978,331.57
  5. Step 5: Solve for x
    x = 31,978,331.57/6,531.79
  6. Step 6: Final answer
    x = 4,895.80

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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.