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Finding the Fourth Proportional to 9,880.01, 14,822.24 and 5,202.23

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Solution

The fourth proportional to 9,880.01, 14,822.24 and 5,202.23 is: 7,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.01 : 14,822.24 = 5,202.23 : x
  2. Step 2: Convert to fraction form
    9,880.01/14,822.24 = 5,202.23/x
  3. Step 3: Cross multiply
    9,880.01x = 14,822.24 × 5,202.23
  4. Step 4: Simplify right side
    9,880.01x = 77,108,601.47
  5. Step 5: Solve for x
    x = 77,108,601.47/9,880.01
  6. Step 6: Final answer
    x = 7,804.51

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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.