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Finding the Fourth Proportional to 9,048.09, 12,486.31 and 5,069.10

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Solution

The fourth proportional to 9,048.09, 12,486.31 and 5,069.10 is: 6,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.09 : 12,486.31 = 5,069.10 : x
  2. Step 2: Convert to fraction form
    9,048.09/12,486.31 = 5,069.10/x
  3. Step 3: Cross multiply
    9,048.09x = 12,486.31 × 5,069.10
  4. Step 4: Simplify right side
    9,048.09x = 63,294,354.02
  5. Step 5: Solve for x
    x = 63,294,354.02/9,048.09
  6. Step 6: Final answer
    x = 6,995.33

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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.