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Finding the Fourth Proportional to 4,969.29, 6,864.61 and 4,706.85

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Solution

The fourth proportional to 4,969.29, 6,864.61 and 4,706.85 is: 6,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.29 : 6,864.61 = 4,706.85 : x
  2. Step 2: Convert to fraction form
    4,969.29/6,864.61 = 4,706.85/x
  3. Step 3: Cross multiply
    4,969.29x = 6,864.61 × 4,706.85
  4. Step 4: Simplify right side
    4,969.29x = 32,310,689.58
  5. Step 5: Solve for x
    x = 32,310,689.58/4,969.29
  6. Step 6: Final answer
    x = 6,502.07

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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.