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Finding the Fourth Proportional to 9,071.64, 13,612.70 and 3,806.18

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Solution

The fourth proportional to 9,071.64, 13,612.70 and 3,806.18 is: 5,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.64 : 13,612.70 = 3,806.18 : x
  2. Step 2: Convert to fraction form
    9,071.64/13,612.70 = 3,806.18/x
  3. Step 3: Cross multiply
    9,071.64x = 13,612.70 × 3,806.18
  4. Step 4: Simplify right side
    9,071.64x = 51,812,318.42
  5. Step 5: Solve for x
    x = 51,812,318.42/9,071.64
  6. Step 6: Final answer
    x = 5,711.46

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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.