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Finding the Fourth Proportional to 9,071.75, 13,602.34 and 3,518.61

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Solution

The fourth proportional to 9,071.75, 13,602.34 and 3,518.61 is: 5,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.75 : 13,602.34 = 3,518.61 : x
  2. Step 2: Convert to fraction form
    9,071.75/13,602.34 = 3,518.61/x
  3. Step 3: Cross multiply
    9,071.75x = 13,602.34 × 3,518.61
  4. Step 4: Simplify right side
    9,071.75x = 47,861,329.55
  5. Step 5: Solve for x
    x = 47,861,329.55/9,071.75
  6. Step 6: Final answer
    x = 5,275.87

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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.