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Finding the Fourth Proportional to 6,274.32, 9,418.29 and 4,718.76

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Solution

The fourth proportional to 6,274.32, 9,418.29 and 4,718.76 is: 7,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.32 : 9,418.29 = 4,718.76 : x
  2. Step 2: Convert to fraction form
    6,274.32/9,418.29 = 4,718.76/x
  3. Step 3: Cross multiply
    6,274.32x = 9,418.29 × 4,718.76
  4. Step 4: Simplify right side
    6,274.32x = 44,442,650.12
  5. Step 5: Solve for x
    x = 44,442,650.12/6,274.32
  6. Step 6: Final answer
    x = 7,083.26

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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.