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Finding the Fourth Proportional to 6,323.62, 9,490.10 and 2,378.60

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Solution

The fourth proportional to 6,323.62, 9,490.10 and 2,378.60 is: 3,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.62 : 9,490.10 = 2,378.60 : x
  2. Step 2: Convert to fraction form
    6,323.62/9,490.10 = 2,378.60/x
  3. Step 3: Cross multiply
    6,323.62x = 9,490.10 × 2,378.60
  4. Step 4: Simplify right side
    6,323.62x = 22,573,151.86
  5. Step 5: Solve for x
    x = 22,573,151.86/6,323.62
  6. Step 6: Final answer
    x = 3,569.66

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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.