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Finding the Fourth Proportional to 9,116.10, 13,670.19 and 3,853.46

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Solution

The fourth proportional to 9,116.10, 13,670.19 and 3,853.46 is: 5,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.10 : 13,670.19 = 3,853.46 : x
  2. Step 2: Convert to fraction form
    9,116.10/13,670.19 = 3,853.46/x
  3. Step 3: Cross multiply
    9,116.10x = 13,670.19 × 3,853.46
  4. Step 4: Simplify right side
    9,116.10x = 52,677,462.01
  5. Step 5: Solve for x
    x = 52,677,462.01/9,116.10
  6. Step 6: Final answer
    x = 5,778.51

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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.