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Finding the Fourth Proportional to 9,422.81, 13,002.50 and 5,445.20

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Solution

The fourth proportional to 9,422.81, 13,002.50 and 5,445.20 is: 7,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.81 : 13,002.50 = 5,445.20 : x
  2. Step 2: Convert to fraction form
    9,422.81/13,002.50 = 5,445.20/x
  3. Step 3: Cross multiply
    9,422.81x = 13,002.50 × 5,445.20
  4. Step 4: Simplify right side
    9,422.81x = 70,801,120.76
  5. Step 5: Solve for x
    x = 70,801,120.76/9,422.81
  6. Step 6: Final answer
    x = 7,513.81

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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.