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Finding the Fourth Proportional to 9,790.72, 13,521.28 and 8,385.28

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Solution

The fourth proportional to 9,790.72, 13,521.28 and 8,385.28 is: 11,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.72 : 13,521.28 = 8,385.28 : x
  2. Step 2: Convert to fraction form
    9,790.72/13,521.28 = 8,385.28/x
  3. Step 3: Cross multiply
    9,790.72x = 13,521.28 × 8,385.28
  4. Step 4: Simplify right side
    9,790.72x = 113,379,718.76
  5. Step 5: Solve for x
    x = 113,379,718.76/9,790.72
  6. Step 6: Final answer
    x = 11,580.32

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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.