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Finding the Fourth Proportional to 9,215.57, 12,717 and 5,236.13

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Solution

The fourth proportional to 9,215.57, 12,717 and 5,236.13 is: 7,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.57 : 12,717 = 5,236.13 : x
  2. Step 2: Convert to fraction form
    9,215.57/12,717 = 5,236.13/x
  3. Step 3: Cross multiply
    9,215.57x = 12,717 × 5,236.13
  4. Step 4: Simplify right side
    9,215.57x = 66,587,801.63
  5. Step 5: Solve for x
    x = 66,587,801.63/9,215.57
  6. Step 6: Final answer
    x = 7,225.58

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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.