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Finding the Fourth Proportional to 6,117.84, 9,176.74 and 2,418.16

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Solution

The fourth proportional to 6,117.84, 9,176.74 and 2,418.16 is: 3,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.84 : 9,176.74 = 2,418.16 : x
  2. Step 2: Convert to fraction form
    6,117.84/9,176.74 = 2,418.16/x
  3. Step 3: Cross multiply
    6,117.84x = 9,176.74 × 2,418.16
  4. Step 4: Simplify right side
    6,117.84x = 22,190,825.60
  5. Step 5: Solve for x
    x = 22,190,825.60/6,117.84
  6. Step 6: Final answer
    x = 3,627.23

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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.