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Finding the Fourth Proportional to 9,315.22, 12,854.92 and 5,066.28

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Solution

The fourth proportional to 9,315.22, 12,854.92 and 5,066.28 is: 6,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.22 : 12,854.92 = 5,066.28 : x
  2. Step 2: Convert to fraction form
    9,315.22/12,854.92 = 5,066.28/x
  3. Step 3: Cross multiply
    9,315.22x = 12,854.92 × 5,066.28
  4. Step 4: Simplify right side
    9,315.22x = 65,126,624.10
  5. Step 5: Solve for x
    x = 65,126,624.10/9,315.22
  6. Step 6: Final answer
    x = 6,991.42

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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.