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Finding the Fourth Proportional to 6,288.54, 9,429.75 and 4,210.89

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Solution

The fourth proportional to 6,288.54, 9,429.75 and 4,210.89 is: 6,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.54 : 9,429.75 = 4,210.89 : x
  2. Step 2: Convert to fraction form
    6,288.54/9,429.75 = 4,210.89/x
  3. Step 3: Cross multiply
    6,288.54x = 9,429.75 × 4,210.89
  4. Step 4: Simplify right side
    6,288.54x = 39,707,639.98
  5. Step 5: Solve for x
    x = 39,707,639.98/6,288.54
  6. Step 6: Final answer
    x = 6,314.29

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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.