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Finding the Fourth Proportional to 9,419.80, 12,985.44 and 7,177.79

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Solution

The fourth proportional to 9,419.80, 12,985.44 and 7,177.79 is: 9,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.80 : 12,985.44 = 7,177.79 : x
  2. Step 2: Convert to fraction form
    9,419.80/12,985.44 = 7,177.79/x
  3. Step 3: Cross multiply
    9,419.80x = 12,985.44 × 7,177.79
  4. Step 4: Simplify right side
    9,419.80x = 93,206,761.38
  5. Step 5: Solve for x
    x = 93,206,761.38/9,419.80
  6. Step 6: Final answer
    x = 9,894.77

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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.