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Finding the Fourth Proportional to 9,242, 12,753.60 and 5,262.92

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Solution

The fourth proportional to 9,242, 12,753.60 and 5,262.92 is: 7,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 12,753.60 = 5,262.92 : x
  2. Step 2: Convert to fraction form
    9,242/12,753.60 = 5,262.92/x
  3. Step 3: Cross multiply
    9,242x = 12,753.60 × 5,262.92
  4. Step 4: Simplify right side
    9,242x = 67,121,176.51
  5. Step 5: Solve for x
    x = 67,121,176.51/9,242
  6. Step 6: Final answer
    x = 7,262.62

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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.