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Finding the Fourth Proportional to 6,424.16, 8,866.32 and 4,663.76

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Solution

The fourth proportional to 6,424.16, 8,866.32 and 4,663.76 is: 6,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.16 : 8,866.32 = 4,663.76 : x
  2. Step 2: Convert to fraction form
    6,424.16/8,866.32 = 4,663.76/x
  3. Step 3: Cross multiply
    6,424.16x = 8,866.32 × 4,663.76
  4. Step 4: Simplify right side
    6,424.16x = 41,350,388.56
  5. Step 5: Solve for x
    x = 41,350,388.56/6,424.16
  6. Step 6: Final answer
    x = 6,436.70

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