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Finding the Fourth Proportional to 6,424.74, 9,639.46 and 4,590.29

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Solution

The fourth proportional to 6,424.74, 9,639.46 and 4,590.29 is: 6,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.74 : 9,639.46 = 4,590.29 : x
  2. Step 2: Convert to fraction form
    6,424.74/9,639.46 = 4,590.29/x
  3. Step 3: Cross multiply
    6,424.74x = 9,639.46 × 4,590.29
  4. Step 4: Simplify right side
    6,424.74x = 44,247,916.84
  5. Step 5: Solve for x
    x = 44,247,916.84/6,424.74
  6. Step 6: Final answer
    x = 6,887.11

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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.