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Finding the Fourth Proportional to 9,009.74, 12,439.16 and 5,824.57

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Solution

The fourth proportional to 9,009.74, 12,439.16 and 5,824.57 is: 8,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.74 : 12,439.16 = 5,824.57 : x
  2. Step 2: Convert to fraction form
    9,009.74/12,439.16 = 5,824.57/x
  3. Step 3: Cross multiply
    9,009.74x = 12,439.16 × 5,824.57
  4. Step 4: Simplify right side
    9,009.74x = 72,452,758.16
  5. Step 5: Solve for x
    x = 72,452,758.16/9,009.74
  6. Step 6: Final answer
    x = 8,041.60

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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.