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Finding the Fourth Proportional to 9,867.68, 14,805.84 and 4,322.42

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Solution

The fourth proportional to 9,867.68, 14,805.84 and 4,322.42 is: 6,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.68 : 14,805.84 = 4,322.42 : x
  2. Step 2: Convert to fraction form
    9,867.68/14,805.84 = 4,322.42/x
  3. Step 3: Cross multiply
    9,867.68x = 14,805.84 × 4,322.42
  4. Step 4: Simplify right side
    9,867.68x = 63,997,058.93
  5. Step 5: Solve for x
    x = 63,997,058.93/9,867.68
  6. Step 6: Final answer
    x = 6,485.52

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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.