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Finding the Fourth Proportional to 9,215.16, 12,717 and 5,023.68

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Solution

The fourth proportional to 9,215.16, 12,717 and 5,023.68 is: 6,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.16 : 12,717 = 5,023.68 : x
  2. Step 2: Convert to fraction form
    9,215.16/12,717 = 5,023.68/x
  3. Step 3: Cross multiply
    9,215.16x = 12,717 × 5,023.68
  4. Step 4: Simplify right side
    9,215.16x = 63,886,138.56
  5. Step 5: Solve for x
    x = 63,886,138.56/9,215.16
  6. Step 6: Final answer
    x = 6,932.72

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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.