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Finding the Fourth Proportional to 6,552.86, 9,033.68 and 4,663.70

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Solution

The fourth proportional to 6,552.86, 9,033.68 and 4,663.70 is: 6,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.86 : 9,033.68 = 4,663.70 : x
  2. Step 2: Convert to fraction form
    6,552.86/9,033.68 = 4,663.70/x
  3. Step 3: Cross multiply
    6,552.86x = 9,033.68 × 4,663.70
  4. Step 4: Simplify right side
    6,552.86x = 42,130,304.93
  5. Step 5: Solve for x
    x = 42,130,304.93/6,552.86
  6. Step 6: Final answer
    x = 6,429.31

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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.