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Finding the Fourth Proportional to 9,728.88, 13,417.56 and 8,223.72

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Solution

The fourth proportional to 9,728.88, 13,417.56 and 8,223.72 is: 11,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.88 : 13,417.56 = 8,223.72 : x
  2. Step 2: Convert to fraction form
    9,728.88/13,417.56 = 8,223.72/x
  3. Step 3: Cross multiply
    9,728.88x = 13,417.56 × 8,223.72
  4. Step 4: Simplify right side
    9,728.88x = 110,342,256.52
  5. Step 5: Solve for x
    x = 110,342,256.52/9,728.88
  6. Step 6: Final answer
    x = 11,341.72

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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.