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Finding the Fourth Proportional to 9,121.75, 12,562.85 and 7,862.34

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Solution

The fourth proportional to 9,121.75, 12,562.85 and 7,862.34 is: 10,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.75 : 12,562.85 = 7,862.34 : x
  2. Step 2: Convert to fraction form
    9,121.75/12,562.85 = 7,862.34/x
  3. Step 3: Cross multiply
    9,121.75x = 12,562.85 × 7,862.34
  4. Step 4: Simplify right side
    9,121.75x = 98,773,358.76
  5. Step 5: Solve for x
    x = 98,773,358.76/9,121.75
  6. Step 6: Final answer
    x = 10,828.34

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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.