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Finding the Fourth Proportional to 9,909.54, 14,864.31 and 2,984.04

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Solution

The fourth proportional to 9,909.54, 14,864.31 and 2,984.04 is: 4,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.54 : 14,864.31 = 2,984.04 : x
  2. Step 2: Convert to fraction form
    9,909.54/14,864.31 = 2,984.04/x
  3. Step 3: Cross multiply
    9,909.54x = 14,864.31 × 2,984.04
  4. Step 4: Simplify right side
    9,909.54x = 44,355,695.61
  5. Step 5: Solve for x
    x = 44,355,695.61/9,909.54
  6. Step 6: Final answer
    x = 4,476.06

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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.