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Finding the Fourth Proportional to 6,904.16, 9,524.71 and 4,665.22

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Solution

The fourth proportional to 6,904.16, 9,524.71 and 4,665.22 is: 6,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.16 : 9,524.71 = 4,665.22 : x
  2. Step 2: Convert to fraction form
    6,904.16/9,524.71 = 4,665.22/x
  3. Step 3: Cross multiply
    6,904.16x = 9,524.71 × 4,665.22
  4. Step 4: Simplify right side
    6,904.16x = 44,434,849.85
  5. Step 5: Solve for x
    x = 44,434,849.85/6,904.16
  6. Step 6: Final answer
    x = 6,435.95

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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.