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Finding the Fourth Proportional to 6,569.12, 9,061.86 and 4,441.86

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Solution

The fourth proportional to 6,569.12, 9,061.86 and 4,441.86 is: 6,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.12 : 9,061.86 = 4,441.86 : x
  2. Step 2: Convert to fraction form
    6,569.12/9,061.86 = 4,441.86/x
  3. Step 3: Cross multiply
    6,569.12x = 9,061.86 × 4,441.86
  4. Step 4: Simplify right side
    6,569.12x = 40,251,513.46
  5. Step 5: Solve for x
    x = 40,251,513.46/6,569.12
  6. Step 6: Final answer
    x = 6,127.38

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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.