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Finding the Fourth Proportional to 10,034.20, 13,858.86 and 9,451

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Solution

The fourth proportional to 10,034.20, 13,858.86 and 9,451 is: 13,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.20 : 13,858.86 = 9,451 : x
  2. Step 2: Convert to fraction form
    10,034.20/13,858.86 = 9,451/x
  3. Step 3: Cross multiply
    10,034.20x = 13,858.86 × 9,451
  4. Step 4: Simplify right side
    10,034.20x = 130,980,085.86
  5. Step 5: Solve for x
    x = 130,980,085.86/10,034.20
  6. Step 6: Final answer
    x = 13,053.37

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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.