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Finding the Fourth Proportional to 9,200.61, 12,696.75 and 5,008.86

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Solution

The fourth proportional to 9,200.61, 12,696.75 and 5,008.86 is: 6,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.61 : 12,696.75 = 5,008.86 : x
  2. Step 2: Convert to fraction form
    9,200.61/12,696.75 = 5,008.86/x
  3. Step 3: Cross multiply
    9,200.61x = 12,696.75 × 5,008.86
  4. Step 4: Simplify right side
    9,200.61x = 63,596,243.21
  5. Step 5: Solve for x
    x = 63,596,243.21/9,200.61
  6. Step 6: Final answer
    x = 6,912.18

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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.