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Finding the Fourth Proportional to 9,963.98, 14,948.32 and 5,584.46

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Solution

The fourth proportional to 9,963.98, 14,948.32 and 5,584.46 is: 8,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.98 : 14,948.32 = 5,584.46 : x
  2. Step 2: Convert to fraction form
    9,963.98/14,948.32 = 5,584.46/x
  3. Step 3: Cross multiply
    9,963.98x = 14,948.32 × 5,584.46
  4. Step 4: Simplify right side
    9,963.98x = 83,478,295.11
  5. Step 5: Solve for x
    x = 83,478,295.11/9,963.98
  6. Step 6: Final answer
    x = 8,378.01

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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.