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Finding the Fourth Proportional to 6,746.16, 9,310.92 and 3,913.20

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Solution

The fourth proportional to 6,746.16, 9,310.92 and 3,913.20 is: 5,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.16 : 9,310.92 = 3,913.20 : x
  2. Step 2: Convert to fraction form
    6,746.16/9,310.92 = 3,913.20/x
  3. Step 3: Cross multiply
    6,746.16x = 9,310.92 × 3,913.20
  4. Step 4: Simplify right side
    6,746.16x = 36,435,492.14
  5. Step 5: Solve for x
    x = 36,435,492.14/6,746.16
  6. Step 6: Final answer
    x = 5,400.92

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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.