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Finding the Fourth Proportional to 6,531.56, 9,013.59 and 3,547.39

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Solution

The fourth proportional to 6,531.56, 9,013.59 and 3,547.39 is: 4,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.56 : 9,013.59 = 3,547.39 : x
  2. Step 2: Convert to fraction form
    6,531.56/9,013.59 = 3,547.39/x
  3. Step 3: Cross multiply
    6,531.56x = 9,013.59 × 3,547.39
  4. Step 4: Simplify right side
    6,531.56x = 31,974,719.03
  5. Step 5: Solve for x
    x = 31,974,719.03/6,531.56
  6. Step 6: Final answer
    x = 4,895.42

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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.