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Finding the Fourth Proportional to 9,870.83, 13,630.84 and 6,340.19

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Solution

The fourth proportional to 9,870.83, 13,630.84 and 6,340.19 is: 8,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.83 : 13,630.84 = 6,340.19 : x
  2. Step 2: Convert to fraction form
    9,870.83/13,630.84 = 6,340.19/x
  3. Step 3: Cross multiply
    9,870.83x = 13,630.84 × 6,340.19
  4. Step 4: Simplify right side
    9,870.83x = 86,422,115.46
  5. Step 5: Solve for x
    x = 86,422,115.46/9,870.83
  6. Step 6: Final answer
    x = 8,755.30

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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.