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Finding the Fourth Proportional to 9,392.96, 14,062.56 and 7,448

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Solution

The fourth proportional to 9,392.96, 14,062.56 and 7,448 is: 11,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.96 : 14,062.56 = 7,448 : x
  2. Step 2: Convert to fraction form
    9,392.96/14,062.56 = 7,448/x
  3. Step 3: Cross multiply
    9,392.96x = 14,062.56 × 7,448
  4. Step 4: Simplify right side
    9,392.96x = 104,737,946.88
  5. Step 5: Solve for x
    x = 104,737,946.88/9,392.96
  6. Step 6: Final answer
    x = 11,150.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.