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Finding the Fourth Proportional to 9,963, 14,934.78 and 3,294.93

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Solution

The fourth proportional to 9,963, 14,934.78 and 3,294.93 is: 4,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963 : 14,934.78 = 3,294.93 : x
  2. Step 2: Convert to fraction form
    9,963/14,934.78 = 3,294.93/x
  3. Step 3: Cross multiply
    9,963x = 14,934.78 × 3,294.93
  4. Step 4: Simplify right side
    9,963x = 49,209,026.66
  5. Step 5: Solve for x
    x = 49,209,026.66/9,963
  6. Step 6: Final answer
    x = 4,939.18

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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.