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Finding the Fourth Proportional to 9,870.42, 13,617.63 and 6,335.58

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Solution

The fourth proportional to 9,870.42, 13,617.63 and 6,335.58 is: 8,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.42 : 13,617.63 = 6,335.58 : x
  2. Step 2: Convert to fraction form
    9,870.42/13,617.63 = 6,335.58/x
  3. Step 3: Cross multiply
    9,870.42x = 13,617.63 × 6,335.58
  4. Step 4: Simplify right side
    9,870.42x = 86,275,584.28
  5. Step 5: Solve for x
    x = 86,275,584.28/9,870.42
  6. Step 6: Final answer
    x = 8,740.82

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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.