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Finding the Fourth Proportional to 9,169.22, 12,648.69 and 5,806.10

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Solution

The fourth proportional to 9,169.22, 12,648.69 and 5,806.10 is: 8,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.22 : 12,648.69 = 5,806.10 : x
  2. Step 2: Convert to fraction form
    9,169.22/12,648.69 = 5,806.10/x
  3. Step 3: Cross multiply
    9,169.22x = 12,648.69 × 5,806.10
  4. Step 4: Simplify right side
    9,169.22x = 73,439,495.77
  5. Step 5: Solve for x
    x = 73,439,495.77/9,169.22
  6. Step 6: Final answer
    x = 8,009.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.