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Finding the Fourth Proportional to 9,648.48, 14,471.10 and 4,381.86

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Solution

The fourth proportional to 9,648.48, 14,471.10 and 4,381.86 is: 6,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.48 : 14,471.10 = 4,381.86 : x
  2. Step 2: Convert to fraction form
    9,648.48/14,471.10 = 4,381.86/x
  3. Step 3: Cross multiply
    9,648.48x = 14,471.10 × 4,381.86
  4. Step 4: Simplify right side
    9,648.48x = 63,410,334.25
  5. Step 5: Solve for x
    x = 63,410,334.25/9,648.48
  6. Step 6: Final answer
    x = 6,572.05

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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.