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Finding the Fourth Proportional to 7,237.89, 10,856.84 and 6,414.12

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Solution

The fourth proportional to 7,237.89, 10,856.84 and 6,414.12 is: 9,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.89 : 10,856.84 = 6,414.12 : x
  2. Step 2: Convert to fraction form
    7,237.89/10,856.84 = 6,414.12/x
  3. Step 3: Cross multiply
    7,237.89x = 10,856.84 × 6,414.12
  4. Step 4: Simplify right side
    7,237.89x = 69,637,042.51
  5. Step 5: Solve for x
    x = 69,637,042.51/7,237.89
  6. Step 6: Final answer
    x = 9,621.18

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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.