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Finding the Fourth Proportional to 9,717.92, 14,577.92 and 2,697.92

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Solution

The fourth proportional to 9,717.92, 14,577.92 and 2,697.92 is: 4,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.92 : 14,577.92 = 2,697.92 : x
  2. Step 2: Convert to fraction form
    9,717.92/14,577.92 = 2,697.92/x
  3. Step 3: Cross multiply
    9,717.92x = 14,577.92 × 2,697.92
  4. Step 4: Simplify right side
    9,717.92x = 39,330,061.93
  5. Step 5: Solve for x
    x = 39,330,061.93/9,717.92
  6. Step 6: Final answer
    x = 4,047.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.