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Finding the Fourth Proportional to 9,022.70, 13,539.15 and 4,862.61

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Solution

The fourth proportional to 9,022.70, 13,539.15 and 4,862.61 is: 7,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.70 : 13,539.15 = 4,862.61 : x
  2. Step 2: Convert to fraction form
    9,022.70/13,539.15 = 4,862.61/x
  3. Step 3: Cross multiply
    9,022.70x = 13,539.15 × 4,862.61
  4. Step 4: Simplify right side
    9,022.70x = 65,835,606.18
  5. Step 5: Solve for x
    x = 65,835,606.18/9,022.70
  6. Step 6: Final answer
    x = 7,296.66

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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.