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Finding the Fourth Proportional to 6,531.25, 9,013.13 and 3,547.09

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Solution

The fourth proportional to 6,531.25, 9,013.13 and 3,547.09 is: 4,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.25 : 9,013.13 = 3,547.09 : x
  2. Step 2: Convert to fraction form
    6,531.25/9,013.13 = 3,547.09/x
  3. Step 3: Cross multiply
    6,531.25x = 9,013.13 × 3,547.09
  4. Step 4: Simplify right side
    6,531.25x = 31,970,383.29
  5. Step 5: Solve for x
    x = 31,970,383.29/6,531.25
  6. Step 6: Final answer
    x = 4,894.99

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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.