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Finding the Fourth Proportional to 9,703.84, 14,557.14 and 3,127.84

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Solution

The fourth proportional to 9,703.84, 14,557.14 and 3,127.84 is: 4,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.84 : 14,557.14 = 3,127.84 : x
  2. Step 2: Convert to fraction form
    9,703.84/14,557.14 = 3,127.84/x
  3. Step 3: Cross multiply
    9,703.84x = 14,557.14 × 3,127.84
  4. Step 4: Simplify right side
    9,703.84x = 45,532,404.78
  5. Step 5: Solve for x
    x = 45,532,404.78/9,703.84
  6. Step 6: Final answer
    x = 4,692.20

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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.