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Finding the Fourth Proportional to 9,873.66, 14,797.86 and 4,325.52

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Solution

The fourth proportional to 9,873.66, 14,797.86 and 4,325.52 is: 6,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.66 : 14,797.86 = 4,325.52 : x
  2. Step 2: Convert to fraction form
    9,873.66/14,797.86 = 4,325.52/x
  3. Step 3: Cross multiply
    9,873.66x = 14,797.86 × 4,325.52
  4. Step 4: Simplify right side
    9,873.66x = 64,008,439.39
  5. Step 5: Solve for x
    x = 64,008,439.39/9,873.66
  6. Step 6: Final answer
    x = 6,482.75

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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.