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Finding the Fourth Proportional to 9,886.38, 13,647.66 and 6,306.15

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Solution

The fourth proportional to 9,886.38, 13,647.66 and 6,306.15 is: 8,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.38 : 13,647.66 = 6,306.15 : x
  2. Step 2: Convert to fraction form
    9,886.38/13,647.66 = 6,306.15/x
  3. Step 3: Cross multiply
    9,886.38x = 13,647.66 × 6,306.15
  4. Step 4: Simplify right side
    9,886.38x = 86,064,191.11
  5. Step 5: Solve for x
    x = 86,064,191.11/9,886.38
  6. Step 6: Final answer
    x = 8,705.33

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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.