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Finding the Fourth Proportional to 9,199.41, 12,695.20 and 5,007.66

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Solution

The fourth proportional to 9,199.41, 12,695.20 and 5,007.66 is: 6,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.41 : 12,695.20 = 5,007.66 : x
  2. Step 2: Convert to fraction form
    9,199.41/12,695.20 = 5,007.66/x
  3. Step 3: Cross multiply
    9,199.41x = 12,695.20 × 5,007.66
  4. Step 4: Simplify right side
    9,199.41x = 63,573,185.11
  5. Step 5: Solve for x
    x = 63,573,185.11/9,199.41
  6. Step 6: Final answer
    x = 6,910.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.