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Finding the Fourth Proportional to 9,109.46, 12,567.34 and 5,752.22

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Solution

The fourth proportional to 9,109.46, 12,567.34 and 5,752.22 is: 7,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.46 : 12,567.34 = 5,752.22 : x
  2. Step 2: Convert to fraction form
    9,109.46/12,567.34 = 5,752.22/x
  3. Step 3: Cross multiply
    9,109.46x = 12,567.34 × 5,752.22
  4. Step 4: Simplify right side
    9,109.46x = 72,290,104.49
  5. Step 5: Solve for x
    x = 72,290,104.49/9,109.46
  6. Step 6: Final answer
    x = 7,935.72

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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.