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Finding the Fourth Proportional to 6,117.69, 8,442.51 and 3,323.19

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Solution

The fourth proportional to 6,117.69, 8,442.51 and 3,323.19 is: 4,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.69 : 8,442.51 = 3,323.19 : x
  2. Step 2: Convert to fraction form
    6,117.69/8,442.51 = 3,323.19/x
  3. Step 3: Cross multiply
    6,117.69x = 8,442.51 × 3,323.19
  4. Step 4: Simplify right side
    6,117.69x = 28,056,064.81
  5. Step 5: Solve for x
    x = 28,056,064.81/6,117.69
  6. Step 6: Final answer
    x = 4,586.06

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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.