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Finding the Fourth Proportional to 9,270.65, 12,790.82 and 5,237.28

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Solution

The fourth proportional to 9,270.65, 12,790.82 and 5,237.28 is: 7,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.65 : 12,790.82 = 5,237.28 : x
  2. Step 2: Convert to fraction form
    9,270.65/12,790.82 = 5,237.28/x
  3. Step 3: Cross multiply
    9,270.65x = 12,790.82 × 5,237.28
  4. Step 4: Simplify right side
    9,270.65x = 66,989,079.58
  5. Step 5: Solve for x
    x = 66,989,079.58/9,270.65
  6. Step 6: Final answer
    x = 7,225.94

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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.