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Finding the Fourth Proportional to 7,144.83, 9,863.29 and 4,758.78

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Solution

The fourth proportional to 7,144.83, 9,863.29 and 4,758.78 is: 6,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.83 : 9,863.29 = 4,758.78 : x
  2. Step 2: Convert to fraction form
    7,144.83/9,863.29 = 4,758.78/x
  3. Step 3: Cross multiply
    7,144.83x = 9,863.29 × 4,758.78
  4. Step 4: Simplify right side
    7,144.83x = 46,937,227.19
  5. Step 5: Solve for x
    x = 46,937,227.19/7,144.83
  6. Step 6: Final answer
    x = 6,569.40

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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.