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Finding the Fourth Proportional to 9,858.92, 13,614.90 and 6,870.56

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Solution

The fourth proportional to 9,858.92, 13,614.90 and 6,870.56 is: 9,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.92 : 13,614.90 = 6,870.56 : x
  2. Step 2: Convert to fraction form
    9,858.92/13,614.90 = 6,870.56/x
  3. Step 3: Cross multiply
    9,858.92x = 13,614.90 × 6,870.56
  4. Step 4: Simplify right side
    9,858.92x = 93,541,987.34
  5. Step 5: Solve for x
    x = 93,541,987.34/9,858.92
  6. Step 6: Final answer
    x = 9,488.06

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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.