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Finding the Fourth Proportional to 9,294.30, 13,908.03 and 6,822.99

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Solution

The fourth proportional to 9,294.30, 13,908.03 and 6,822.99 is: 10,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.30 : 13,908.03 = 6,822.99 : x
  2. Step 2: Convert to fraction form
    9,294.30/13,908.03 = 6,822.99/x
  3. Step 3: Cross multiply
    9,294.30x = 13,908.03 × 6,822.99
  4. Step 4: Simplify right side
    9,294.30x = 94,894,349.61
  5. Step 5: Solve for x
    x = 94,894,349.61/9,294.30
  6. Step 6: Final answer
    x = 10,209.95

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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.