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Finding the Fourth Proportional to 9,906.84, 14,852.58 and 4,431

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Solution

The fourth proportional to 9,906.84, 14,852.58 and 4,431 is: 6,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.84 : 14,852.58 = 4,431 : x
  2. Step 2: Convert to fraction form
    9,906.84/14,852.58 = 4,431/x
  3. Step 3: Cross multiply
    9,906.84x = 14,852.58 × 4,431
  4. Step 4: Simplify right side
    9,906.84x = 65,811,781.98
  5. Step 5: Solve for x
    x = 65,811,781.98/9,906.84
  6. Step 6: Final answer
    x = 6,643.06

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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.