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Finding the Fourth Proportional to 6,524.32, 9,786.48 and 4,585.18

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Solution

The fourth proportional to 6,524.32, 9,786.48 and 4,585.18 is: 6,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.32 : 9,786.48 = 4,585.18 : x
  2. Step 2: Convert to fraction form
    6,524.32/9,786.48 = 4,585.18/x
  3. Step 3: Cross multiply
    6,524.32x = 9,786.48 × 4,585.18
  4. Step 4: Simplify right side
    6,524.32x = 44,872,772.37
  5. Step 5: Solve for x
    x = 44,872,772.37/6,524.32
  6. Step 6: Final answer
    x = 6,877.77

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