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Finding the Fourth Proportional to 9,801, 14,703.12 and 2,877.12

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Solution

The fourth proportional to 9,801, 14,703.12 and 2,877.12 is: 4,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 14,703.12 = 2,877.12 : x
  2. Step 2: Convert to fraction form
    9,801/14,703.12 = 2,877.12/x
  3. Step 3: Cross multiply
    9,801x = 14,703.12 × 2,877.12
  4. Step 4: Simplify right side
    9,801x = 42,302,640.61
  5. Step 5: Solve for x
    x = 42,302,640.61/9,801
  6. Step 6: Final answer
    x = 4,316.16

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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.