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Finding the Fourth Proportional to 9,853.68, 13,592.70 and 6,312.90

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Solution

The fourth proportional to 9,853.68, 13,592.70 and 6,312.90 is: 8,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.68 : 13,592.70 = 6,312.90 : x
  2. Step 2: Convert to fraction form
    9,853.68/13,592.70 = 6,312.90/x
  3. Step 3: Cross multiply
    9,853.68x = 13,592.70 × 6,312.90
  4. Step 4: Simplify right side
    9,853.68x = 85,809,355.83
  5. Step 5: Solve for x
    x = 85,809,355.83/9,853.68
  6. Step 6: Final answer
    x = 8,708.36

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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.