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Finding the Fourth Proportional to 9,049.64, 13,565.95 and 4,665.92

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Solution

The fourth proportional to 9,049.64, 13,565.95 and 4,665.92 is: 6,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.64 : 13,565.95 = 4,665.92 : x
  2. Step 2: Convert to fraction form
    9,049.64/13,565.95 = 4,665.92/x
  3. Step 3: Cross multiply
    9,049.64x = 13,565.95 × 4,665.92
  4. Step 4: Simplify right side
    9,049.64x = 63,297,637.42
  5. Step 5: Solve for x
    x = 63,297,637.42/9,049.64
  6. Step 6: Final answer
    x = 6,994.49

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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.