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Finding the Fourth Proportional to 6,117.70, 8,442.01 and 3,323.14

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Solution

The fourth proportional to 6,117.70, 8,442.01 and 3,323.14 is: 4,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.70 : 8,442.01 = 3,323.14 : x
  2. Step 2: Convert to fraction form
    6,117.70/8,442.01 = 3,323.14/x
  3. Step 3: Cross multiply
    6,117.70x = 8,442.01 × 3,323.14
  4. Step 4: Simplify right side
    6,117.70x = 28,053,981.11
  5. Step 5: Solve for x
    x = 28,053,981.11/6,117.70
  6. Step 6: Final answer
    x = 4,585.71

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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.