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Finding the Fourth Proportional to 7,023.48, 9,663.82 and 6,440.28

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Solution

The fourth proportional to 7,023.48, 9,663.82 and 6,440.28 is: 8,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.48 : 9,663.82 = 6,440.28 : x
  2. Step 2: Convert to fraction form
    7,023.48/9,663.82 = 6,440.28/x
  3. Step 3: Cross multiply
    7,023.48x = 9,663.82 × 6,440.28
  4. Step 4: Simplify right side
    7,023.48x = 62,237,706.67
  5. Step 5: Solve for x
    x = 62,237,706.67/7,023.48
  6. Step 6: Final answer
    x = 8,861.38

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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.