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Finding the Fourth Proportional to 9,848.32, 13,589.04 and 6,310.80

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Solution

The fourth proportional to 9,848.32, 13,589.04 and 6,310.80 is: 8,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.32 : 13,589.04 = 6,310.80 : x
  2. Step 2: Convert to fraction form
    9,848.32/13,589.04 = 6,310.80/x
  3. Step 3: Cross multiply
    9,848.32x = 13,589.04 × 6,310.80
  4. Step 4: Simplify right side
    9,848.32x = 85,757,713.63
  5. Step 5: Solve for x
    x = 85,757,713.63/9,848.32
  6. Step 6: Final answer
    x = 8,707.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.