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Finding the Fourth Proportional to 9,116.98, 13,678.80 and 3,853.36

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Solution

The fourth proportional to 9,116.98, 13,678.80 and 3,853.36 is: 5,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.98 : 13,678.80 = 3,853.36 : x
  2. Step 2: Convert to fraction form
    9,116.98/13,678.80 = 3,853.36/x
  3. Step 3: Cross multiply
    9,116.98x = 13,678.80 × 3,853.36
  4. Step 4: Simplify right side
    9,116.98x = 52,709,340.77
  5. Step 5: Solve for x
    x = 52,709,340.77/9,116.98
  6. Step 6: Final answer
    x = 5,781.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.