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Finding the Fourth Proportional to 9,638.92, 14,448.53 and 5,470.12

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Solution

The fourth proportional to 9,638.92, 14,448.53 and 5,470.12 is: 8,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.92 : 14,448.53 = 5,470.12 : x
  2. Step 2: Convert to fraction form
    9,638.92/14,448.53 = 5,470.12/x
  3. Step 3: Cross multiply
    9,638.92x = 14,448.53 × 5,470.12
  4. Step 4: Simplify right side
    9,638.92x = 79,035,192.92
  5. Step 5: Solve for x
    x = 79,035,192.92/9,638.92
  6. Step 6: Final answer
    x = 8,199.59

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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.