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Finding the Fourth Proportional to 9,909.34, 14,864.09 and 3,335.42

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Solution

The fourth proportional to 9,909.34, 14,864.09 and 3,335.42 is: 5,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.34 : 14,864.09 = 3,335.42 : x
  2. Step 2: Convert to fraction form
    9,909.34/14,864.09 = 3,335.42/x
  3. Step 3: Cross multiply
    9,909.34x = 14,864.09 × 3,335.42
  4. Step 4: Simplify right side
    9,909.34x = 49,578,003.55
  5. Step 5: Solve for x
    x = 49,578,003.55/9,909.34
  6. Step 6: Final answer
    x = 5,003.16

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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.