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Finding the Fourth Proportional to 9,215.82, 12,717.86 and 5,024.07

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Solution

The fourth proportional to 9,215.82, 12,717.86 and 5,024.07 is: 6,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.82 : 12,717.86 = 5,024.07 : x
  2. Step 2: Convert to fraction form
    9,215.82/12,717.86 = 5,024.07/x
  3. Step 3: Cross multiply
    9,215.82x = 12,717.86 × 5,024.07
  4. Step 4: Simplify right side
    9,215.82x = 63,895,393.77
  5. Step 5: Solve for x
    x = 63,895,393.77/9,215.82
  6. Step 6: Final answer
    x = 6,933.23

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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.