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Finding the Fourth Proportional to 7,145.30, 9,862.32 and 4,759.24

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Solution

The fourth proportional to 7,145.30, 9,862.32 and 4,759.24 is: 6,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.30 : 9,862.32 = 4,759.24 : x
  2. Step 2: Convert to fraction form
    7,145.30/9,862.32 = 4,759.24/x
  3. Step 3: Cross multiply
    7,145.30x = 9,862.32 × 4,759.24
  4. Step 4: Simplify right side
    7,145.30x = 46,937,147.84
  5. Step 5: Solve for x
    x = 46,937,147.84/7,145.30
  6. Step 6: Final answer
    x = 6,568.95

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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.