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Finding the Fourth Proportional to 9,024.57, 12,448.90 and 5,247.32

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Solution

The fourth proportional to 9,024.57, 12,448.90 and 5,247.32 is: 7,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.57 : 12,448.90 = 5,247.32 : x
  2. Step 2: Convert to fraction form
    9,024.57/12,448.90 = 5,247.32/x
  3. Step 3: Cross multiply
    9,024.57x = 12,448.90 × 5,247.32
  4. Step 4: Simplify right side
    9,024.57x = 65,323,356.03
  5. Step 5: Solve for x
    x = 65,323,356.03/9,024.57
  6. Step 6: Final answer
    x = 7,238.39

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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.