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Finding the Fourth Proportional to 9,071.71, 13,611.75 and 4,142.86

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Solution

The fourth proportional to 9,071.71, 13,611.75 and 4,142.86 is: 6,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.71 : 13,611.75 = 4,142.86 : x
  2. Step 2: Convert to fraction form
    9,071.71/13,611.75 = 4,142.86/x
  3. Step 3: Cross multiply
    9,071.71x = 13,611.75 × 4,142.86
  4. Step 4: Simplify right side
    9,071.71x = 56,391,574.61
  5. Step 5: Solve for x
    x = 56,391,574.61/9,071.71
  6. Step 6: Final answer
    x = 6,216.20

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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.