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Finding the Fourth Proportional to 9,215.78, 12,718.62 and 5,235.84

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Solution

The fourth proportional to 9,215.78, 12,718.62 and 5,235.84 is: 7,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.78 : 12,718.62 = 5,235.84 : x
  2. Step 2: Convert to fraction form
    9,215.78/12,718.62 = 5,235.84/x
  3. Step 3: Cross multiply
    9,215.78x = 12,718.62 × 5,235.84
  4. Step 4: Simplify right side
    9,215.78x = 66,592,659.34
  5. Step 5: Solve for x
    x = 66,592,659.34/9,215.78
  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.