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Finding the Fourth Proportional to 9,565.77, 14,350.27 and 2,990.66

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Solution

The fourth proportional to 9,565.77, 14,350.27 and 2,990.66 is: 4,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.77 : 14,350.27 = 2,990.66 : x
  2. Step 2: Convert to fraction form
    9,565.77/14,350.27 = 2,990.66/x
  3. Step 3: Cross multiply
    9,565.77x = 14,350.27 × 2,990.66
  4. Step 4: Simplify right side
    9,565.77x = 42,916,778.48
  5. Step 5: Solve for x
    x = 42,916,778.48/9,565.77
  6. Step 6: Final answer
    x = 4,486.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.