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Finding the Fourth Proportional to 6,531.88, 9,014.04 and 3,547.72

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Solution

The fourth proportional to 6,531.88, 9,014.04 and 3,547.72 is: 4,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.88 : 9,014.04 = 3,547.72 : x
  2. Step 2: Convert to fraction form
    6,531.88/9,014.04 = 3,547.72/x
  3. Step 3: Cross multiply
    6,531.88x = 9,014.04 × 3,547.72
  4. Step 4: Simplify right side
    6,531.88x = 31,979,289.99
  5. Step 5: Solve for x
    x = 31,979,289.99/6,531.88
  6. Step 6: Final answer
    x = 4,895.88

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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.