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Finding the Fourth Proportional to 9,046.72, 13,572.20 and 2,806.40

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Solution

The fourth proportional to 9,046.72, 13,572.20 and 2,806.40 is: 4,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.72 : 13,572.20 = 2,806.40 : x
  2. Step 2: Convert to fraction form
    9,046.72/13,572.20 = 2,806.40/x
  3. Step 3: Cross multiply
    9,046.72x = 13,572.20 × 2,806.40
  4. Step 4: Simplify right side
    9,046.72x = 38,089,022.08
  5. Step 5: Solve for x
    x = 38,089,022.08/9,046.72
  6. Step 6: Final answer
    x = 4,210.26

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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.