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Finding the Fourth Proportional to 7,144.61, 9,862.76 and 5,376.78

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Solution

The fourth proportional to 7,144.61, 9,862.76 and 5,376.78 is: 7,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.61 : 9,862.76 = 5,376.78 : x
  2. Step 2: Convert to fraction form
    7,144.61/9,862.76 = 5,376.78/x
  3. Step 3: Cross multiply
    7,144.61x = 9,862.76 × 5,376.78
  4. Step 4: Simplify right side
    7,144.61x = 53,029,904.15
  5. Step 5: Solve for x
    x = 53,029,904.15/7,144.61
  6. Step 6: Final answer
    x = 7,422.37

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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.