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Finding the Fourth Proportional to 9,484.38, 13,085.82 and 6,127.34

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Solution

The fourth proportional to 9,484.38, 13,085.82 and 6,127.34 is: 8,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.38 : 13,085.82 = 6,127.34 : x
  2. Step 2: Convert to fraction form
    9,484.38/13,085.82 = 6,127.34/x
  3. Step 3: Cross multiply
    9,484.38x = 13,085.82 × 6,127.34
  4. Step 4: Simplify right side
    9,484.38x = 80,181,268.32
  5. Step 5: Solve for x
    x = 80,181,268.32/9,484.38
  6. Step 6: Final answer
    x = 8,454.03

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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.