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Finding the Fourth Proportional to 9,471.16, 14,214.03 and 4,280.68

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Solution

The fourth proportional to 9,471.16, 14,214.03 and 4,280.68 is: 6,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.16 : 14,214.03 = 4,280.68 : x
  2. Step 2: Convert to fraction form
    9,471.16/14,214.03 = 4,280.68/x
  3. Step 3: Cross multiply
    9,471.16x = 14,214.03 × 4,280.68
  4. Step 4: Simplify right side
    9,471.16x = 60,845,713.94
  5. Step 5: Solve for x
    x = 60,845,713.94/9,471.16
  6. Step 6: Final answer
    x = 6,424.31

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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.