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Finding the Fourth Proportional to 9,215.84, 12,718.46 and 5,235.44

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Solution

The fourth proportional to 9,215.84, 12,718.46 and 5,235.44 is: 7,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.84 : 12,718.46 = 5,235.44 : x
  2. Step 2: Convert to fraction form
    9,215.84/12,718.46 = 5,235.44/x
  3. Step 3: Cross multiply
    9,215.84x = 12,718.46 × 5,235.44
  4. Step 4: Simplify right side
    9,215.84x = 66,586,734.22
  5. Step 5: Solve for x
    x = 66,586,734.22/9,215.84
  6. Step 6: Final answer
    x = 7,225.25

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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.