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Finding the Fourth Proportional to 6,199.18, 9,288.86 and 5,569.74

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Solution

The fourth proportional to 6,199.18, 9,288.86 and 5,569.74 is: 8,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.18 : 9,288.86 = 5,569.74 : x
  2. Step 2: Convert to fraction form
    6,199.18/9,288.86 = 5,569.74/x
  3. Step 3: Cross multiply
    6,199.18x = 9,288.86 × 5,569.74
  4. Step 4: Simplify right side
    6,199.18x = 51,736,535.10
  5. Step 5: Solve for x
    x = 51,736,535.10/6,199.18
  6. Step 6: Final answer
    x = 8,345.71

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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.