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Finding the Fourth Proportional to 9,717.36, 13,416.41 and 7,475.28

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Solution

The fourth proportional to 9,717.36, 13,416.41 and 7,475.28 is: 10,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.36 : 13,416.41 = 7,475.28 : x
  2. Step 2: Convert to fraction form
    9,717.36/13,416.41 = 7,475.28/x
  3. Step 3: Cross multiply
    9,717.36x = 13,416.41 × 7,475.28
  4. Step 4: Simplify right side
    9,717.36x = 100,291,440.03
  5. Step 5: Solve for x
    x = 100,291,440.03/9,717.36
  6. Step 6: Final answer
    x = 10,320.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.