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Finding the Fourth Proportional to 9,169.12, 12,645.04 and 7,755.76

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Solution

The fourth proportional to 9,169.12, 12,645.04 and 7,755.76 is: 10,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.12 : 12,645.04 = 7,755.76 : x
  2. Step 2: Convert to fraction form
    9,169.12/12,645.04 = 7,755.76/x
  3. Step 3: Cross multiply
    9,169.12x = 12,645.04 × 7,755.76
  4. Step 4: Simplify right side
    9,169.12x = 98,071,895.43
  5. Step 5: Solve for x
    x = 98,071,895.43/9,169.12
  6. Step 6: Final answer
    x = 10,695.89

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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.