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Finding the Fourth Proportional to 9,140.90, 13,711.35 and 4,982.90

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Solution

The fourth proportional to 9,140.90, 13,711.35 and 4,982.90 is: 7,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.90 : 13,711.35 = 4,982.90 : x
  2. Step 2: Convert to fraction form
    9,140.90/13,711.35 = 4,982.90/x
  3. Step 3: Cross multiply
    9,140.90x = 13,711.35 × 4,982.90
  4. Step 4: Simplify right side
    9,140.90x = 68,322,285.92
  5. Step 5: Solve for x
    x = 68,322,285.92/9,140.90
  6. Step 6: Final answer
    x = 7,474.35

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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.