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Finding the Fourth Proportional to 6,565.62, 9,053.67 and 4,324.63

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Solution

The fourth proportional to 6,565.62, 9,053.67 and 4,324.63 is: 5,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.62 : 9,053.67 = 4,324.63 : x
  2. Step 2: Convert to fraction form
    6,565.62/9,053.67 = 4,324.63/x
  3. Step 3: Cross multiply
    6,565.62x = 9,053.67 × 4,324.63
  4. Step 4: Simplify right side
    6,565.62x = 39,153,772.89
  5. Step 5: Solve for x
    x = 39,153,772.89/6,565.62
  6. Step 6: Final answer
    x = 5,963.45

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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.