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Finding the Fourth Proportional to 9,200.25, 12,696.35 and 5,008.53

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Solution

The fourth proportional to 9,200.25, 12,696.35 and 5,008.53 is: 6,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.25 : 12,696.35 = 5,008.53 : x
  2. Step 2: Convert to fraction form
    9,200.25/12,696.35 = 5,008.53/x
  3. Step 3: Cross multiply
    9,200.25x = 12,696.35 × 5,008.53
  4. Step 4: Simplify right side
    9,200.25x = 63,590,049.87
  5. Step 5: Solve for x
    x = 63,590,049.87/9,200.25
  6. Step 6: Final answer
    x = 6,911.77

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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.