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Finding the Fourth Proportional to 9,759.29, 14,641.21 and 3,518.13

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Solution

The fourth proportional to 9,759.29, 14,641.21 and 3,518.13 is: 5,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.29 : 14,641.21 = 3,518.13 : x
  2. Step 2: Convert to fraction form
    9,759.29/14,641.21 = 3,518.13/x
  3. Step 3: Cross multiply
    9,759.29x = 14,641.21 × 3,518.13
  4. Step 4: Simplify right side
    9,759.29x = 51,509,719.65
  5. Step 5: Solve for x
    x = 51,509,719.65/9,759.29
  6. Step 6: Final answer
    x = 5,278.02

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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.