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Finding the Fourth Proportional to 9,686.95, 13,364.55 and 6,331.70

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Solution

The fourth proportional to 9,686.95, 13,364.55 and 6,331.70 is: 8,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.95 : 13,364.55 = 6,331.70 : x
  2. Step 2: Convert to fraction form
    9,686.95/13,364.55 = 6,331.70/x
  3. Step 3: Cross multiply
    9,686.95x = 13,364.55 × 6,331.70
  4. Step 4: Simplify right side
    9,686.95x = 84,620,230.67
  5. Step 5: Solve for x
    x = 84,620,230.67/9,686.95
  6. Step 6: Final answer
    x = 8,735.49

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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.