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Finding the Fourth Proportional to 6,264.32, 9,398.10 and 2,368.76

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Solution

The fourth proportional to 6,264.32, 9,398.10 and 2,368.76 is: 3,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.32 : 9,398.10 = 2,368.76 : x
  2. Step 2: Convert to fraction form
    6,264.32/9,398.10 = 2,368.76/x
  3. Step 3: Cross multiply
    6,264.32x = 9,398.10 × 2,368.76
  4. Step 4: Simplify right side
    6,264.32x = 22,261,843.36
  5. Step 5: Solve for x
    x = 22,261,843.36/6,264.32
  6. Step 6: Final answer
    x = 3,553.75

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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.