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Finding the Fourth Proportional to 6,531.90, 9,014.03 and 3,547.78

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Solution

The fourth proportional to 6,531.90, 9,014.03 and 3,547.78 is: 4,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.90 : 9,014.03 = 3,547.78 : x
  2. Step 2: Convert to fraction form
    6,531.90/9,014.03 = 3,547.78/x
  3. Step 3: Cross multiply
    6,531.90x = 9,014.03 × 3,547.78
  4. Step 4: Simplify right side
    6,531.90x = 31,979,795.35
  5. Step 5: Solve for x
    x = 31,979,795.35/6,531.90
  6. Step 6: Final answer
    x = 4,895.94

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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.