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Finding the Fourth Proportional to 9,617.92, 14,430.48 and 3,378.40

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Solution

The fourth proportional to 9,617.92, 14,430.48 and 3,378.40 is: 5,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.92 : 14,430.48 = 3,378.40 : x
  2. Step 2: Convert to fraction form
    9,617.92/14,430.48 = 3,378.40/x
  3. Step 3: Cross multiply
    9,617.92x = 14,430.48 × 3,378.40
  4. Step 4: Simplify right side
    9,617.92x = 48,751,933.63
  5. Step 5: Solve for x
    x = 48,751,933.63/9,617.92
  6. Step 6: Final answer
    x = 5,068.86

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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.