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Finding the Fourth Proportional to 9,307.84, 13,963.82 and 3,069.78

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Solution

The fourth proportional to 9,307.84, 13,963.82 and 3,069.78 is: 4,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.84 : 13,963.82 = 3,069.78 : x
  2. Step 2: Convert to fraction form
    9,307.84/13,963.82 = 3,069.78/x
  3. Step 3: Cross multiply
    9,307.84x = 13,963.82 × 3,069.78
  4. Step 4: Simplify right side
    9,307.84x = 42,865,855.36
  5. Step 5: Solve for x
    x = 42,865,855.36/9,307.84
  6. Step 6: Final answer
    x = 4,605.35

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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.