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Finding the Fourth Proportional to 9,801.72, 14,703.12 and 2,876.76

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Solution

The fourth proportional to 9,801.72, 14,703.12 and 2,876.76 is: 4,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.72 : 14,703.12 = 2,876.76 : x
  2. Step 2: Convert to fraction form
    9,801.72/14,703.12 = 2,876.76/x
  3. Step 3: Cross multiply
    9,801.72x = 14,703.12 × 2,876.76
  4. Step 4: Simplify right side
    9,801.72x = 42,297,347.49
  5. Step 5: Solve for x
    x = 42,297,347.49/9,801.72
  6. Step 6: Final answer
    x = 4,315.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.