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Finding the Fourth Proportional to 9,862.90, 14,797.78 and 6,160.76

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Solution

The fourth proportional to 9,862.90, 14,797.78 and 6,160.76 is: 9,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.90 : 14,797.78 = 6,160.76 : x
  2. Step 2: Convert to fraction form
    9,862.90/14,797.78 = 6,160.76/x
  3. Step 3: Cross multiply
    9,862.90x = 14,797.78 × 6,160.76
  4. Step 4: Simplify right side
    9,862.90x = 91,165,571.11
  5. Step 5: Solve for x
    x = 91,165,571.11/9,862.90
  6. Step 6: Final answer
    x = 9,243.28

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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.