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Finding the Fourth Proportional to 9,874.66, 14,799.36 and 4,326.52

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Solution

The fourth proportional to 9,874.66, 14,799.36 and 4,326.52 is: 6,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.66 : 14,799.36 = 4,326.52 : x
  2. Step 2: Convert to fraction form
    9,874.66/14,799.36 = 4,326.52/x
  3. Step 3: Cross multiply
    9,874.66x = 14,799.36 × 4,326.52
  4. Step 4: Simplify right side
    9,874.66x = 64,029,727.03
  5. Step 5: Solve for x
    x = 64,029,727.03/9,874.66
  6. Step 6: Final answer
    x = 6,484.25

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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.