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Finding the Fourth Proportional to 6,244.16, 9,374.47 and 5,728.39

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Solution

The fourth proportional to 6,244.16, 9,374.47 and 5,728.39 is: 8,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.16 : 9,374.47 = 5,728.39 : x
  2. Step 2: Convert to fraction form
    6,244.16/9,374.47 = 5,728.39/x
  3. Step 3: Cross multiply
    6,244.16x = 9,374.47 × 5,728.39
  4. Step 4: Simplify right side
    6,244.16x = 53,700,582.45
  5. Step 5: Solve for x
    x = 53,700,582.45/6,244.16
  6. Step 6: Final answer
    x = 8,600.14

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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.