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Finding the Fourth Proportional to 9,125.76, 12,593.54 and 4,934

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Solution

The fourth proportional to 9,125.76, 12,593.54 and 4,934 is: 6,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.76 : 12,593.54 = 4,934 : x
  2. Step 2: Convert to fraction form
    9,125.76/12,593.54 = 4,934/x
  3. Step 3: Cross multiply
    9,125.76x = 12,593.54 × 4,934
  4. Step 4: Simplify right side
    9,125.76x = 62,136,526.36
  5. Step 5: Solve for x
    x = 62,136,526.36/9,125.76
  6. Step 6: Final answer
    x = 6,808.92

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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.