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Finding the Fourth Proportional to 6,531.20, 9,013.02 and 3,547.02

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Solution

The fourth proportional to 6,531.20, 9,013.02 and 3,547.02 is: 4,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.20 : 9,013.02 = 3,547.02 : x
  2. Step 2: Convert to fraction form
    6,531.20/9,013.02 = 3,547.02/x
  3. Step 3: Cross multiply
    6,531.20x = 9,013.02 × 3,547.02
  4. Step 4: Simplify right side
    6,531.20x = 31,969,362.20
  5. Step 5: Solve for x
    x = 31,969,362.20/6,531.20
  6. Step 6: Final answer
    x = 4,894.87

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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.