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Finding the Fourth Proportional to 9,963.16, 14,946.71 and 2,943.29

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Solution

The fourth proportional to 9,963.16, 14,946.71 and 2,943.29 is: 4,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.16 : 14,946.71 = 2,943.29 : x
  2. Step 2: Convert to fraction form
    9,963.16/14,946.71 = 2,943.29/x
  3. Step 3: Cross multiply
    9,963.16x = 14,946.71 × 2,943.29
  4. Step 4: Simplify right side
    9,963.16x = 43,992,502.08
  5. Step 5: Solve for x
    x = 43,992,502.08/9,963.16
  6. Step 6: Final answer
    x = 4,415.52

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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.