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Finding the Fourth Proportional to 9,024.30, 12,419.55 and 7,440.30

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Solution

The fourth proportional to 9,024.30, 12,419.55 and 7,440.30 is: 10,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.30 : 12,419.55 = 7,440.30 : x
  2. Step 2: Convert to fraction form
    9,024.30/12,419.55 = 7,440.30/x
  3. Step 3: Cross multiply
    9,024.30x = 12,419.55 × 7,440.30
  4. Step 4: Simplify right side
    9,024.30x = 92,405,177.87
  5. Step 5: Solve for x
    x = 92,405,177.87/9,024.30
  6. Step 6: Final answer
    x = 10,239.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.