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Finding the Fourth Proportional to 9,113.42, 12,494.50 and 8,947.35

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Solution

The fourth proportional to 9,113.42, 12,494.50 and 8,947.35 is: 12,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.42 : 12,494.50 = 8,947.35 : x
  2. Step 2: Convert to fraction form
    9,113.42/12,494.50 = 8,947.35/x
  3. Step 3: Cross multiply
    9,113.42x = 12,494.50 × 8,947.35
  4. Step 4: Simplify right side
    9,113.42x = 111,792,642.21
  5. Step 5: Solve for x
    x = 111,792,642.21/9,113.42
  6. Step 6: Final answer
    x = 12,266.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.