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Finding the Fourth Proportional to 6,531.74, 9,013.79 and 3,547.57

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Solution

The fourth proportional to 6,531.74, 9,013.79 and 3,547.57 is: 4,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.74 : 9,013.79 = 3,547.57 : x
  2. Step 2: Convert to fraction form
    6,531.74/9,013.79 = 3,547.57/x
  3. Step 3: Cross multiply
    6,531.74x = 9,013.79 × 3,547.57
  4. Step 4: Simplify right side
    6,531.74x = 31,977,033.25
  5. Step 5: Solve for x
    x = 31,977,033.25/6,531.74
  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.