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Finding the Fourth Proportional to 6,298.63, 9,445.21 and 1,915.06

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Solution

The fourth proportional to 6,298.63, 9,445.21 and 1,915.06 is: 2,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.63 : 9,445.21 = 1,915.06 : x
  2. Step 2: Convert to fraction form
    6,298.63/9,445.21 = 1,915.06/x
  3. Step 3: Cross multiply
    6,298.63x = 9,445.21 × 1,915.06
  4. Step 4: Simplify right side
    6,298.63x = 18,088,115.46
  5. Step 5: Solve for x
    x = 18,088,115.46/6,298.63
  6. Step 6: Final answer
    x = 2,871.76

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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.