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Finding the Fourth Proportional to 6,298.17, 9,444.09 and 1,915.08

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Solution

The fourth proportional to 6,298.17, 9,444.09 and 1,915.08 is: 2,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.17 : 9,444.09 = 1,915.08 : x
  2. Step 2: Convert to fraction form
    6,298.17/9,444.09 = 1,915.08/x
  3. Step 3: Cross multiply
    6,298.17x = 9,444.09 × 1,915.08
  4. Step 4: Simplify right side
    6,298.17x = 18,086,187.88
  5. Step 5: Solve for x
    x = 18,086,187.88/6,298.17
  6. Step 6: Final answer
    x = 2,871.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.