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Finding the Fourth Proportional to 9,847.80, 13,585.95 and 6,017.46

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Solution

The fourth proportional to 9,847.80, 13,585.95 and 6,017.46 is: 8,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.80 : 13,585.95 = 6,017.46 : x
  2. Step 2: Convert to fraction form
    9,847.80/13,585.95 = 6,017.46/x
  3. Step 3: Cross multiply
    9,847.80x = 13,585.95 × 6,017.46
  4. Step 4: Simplify right side
    9,847.80x = 81,752,910.69
  5. Step 5: Solve for x
    x = 81,752,910.69/9,847.80
  6. Step 6: Final answer
    x = 8,301.64

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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.