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Finding the Fourth Proportional to 7,232.36, 9,989.34 and 5,463.32

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Solution

The fourth proportional to 7,232.36, 9,989.34 and 5,463.32 is: 7,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.36 : 9,989.34 = 5,463.32 : x
  2. Step 2: Convert to fraction form
    7,232.36/9,989.34 = 5,463.32/x
  3. Step 3: Cross multiply
    7,232.36x = 9,989.34 × 5,463.32
  4. Step 4: Simplify right side
    7,232.36x = 54,574,961.01
  5. Step 5: Solve for x
    x = 54,574,961.01/7,232.36
  6. Step 6: Final answer
    x = 7,545.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.