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Finding the Fourth Proportional to 6,232.51, 9,356.93 and 4,384.49

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Solution

The fourth proportional to 6,232.51, 9,356.93 and 4,384.49 is: 6,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.51 : 9,356.93 = 4,384.49 : x
  2. Step 2: Convert to fraction form
    6,232.51/9,356.93 = 4,384.49/x
  3. Step 3: Cross multiply
    6,232.51x = 9,356.93 × 4,384.49
  4. Step 4: Simplify right side
    6,232.51x = 41,025,344.09
  5. Step 5: Solve for x
    x = 41,025,344.09/6,232.51
  6. Step 6: Final answer
    x = 6,582.48

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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.