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Finding the Fourth Proportional to 9,562.32, 13,192.29 and 7,050.39

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Solution

The fourth proportional to 9,562.32, 13,192.29 and 7,050.39 is: 9,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.32 : 13,192.29 = 7,050.39 : x
  2. Step 2: Convert to fraction form
    9,562.32/13,192.29 = 7,050.39/x
  3. Step 3: Cross multiply
    9,562.32x = 13,192.29 × 7,050.39
  4. Step 4: Simplify right side
    9,562.32x = 93,010,789.49
  5. Step 5: Solve for x
    x = 93,010,789.49/9,562.32
  6. Step 6: Final answer
    x = 9,726.80

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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.