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Finding the Fourth Proportional to 7,454.22, 10,291.22 and 6,697.68

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Solution

The fourth proportional to 7,454.22, 10,291.22 and 6,697.68 is: 9,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.22 : 10,291.22 = 6,697.68 : x
  2. Step 2: Convert to fraction form
    7,454.22/10,291.22 = 6,697.68/x
  3. Step 3: Cross multiply
    7,454.22x = 10,291.22 × 6,697.68
  4. Step 4: Simplify right side
    7,454.22x = 68,927,298.37
  5. Step 5: Solve for x
    x = 68,927,298.37/7,454.22
  6. Step 6: Final answer
    x = 9,246.75

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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.