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Finding the Fourth Proportional to 9,675.78, 14,519.61 and 7,689.66

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Solution

The fourth proportional to 9,675.78, 14,519.61 and 7,689.66 is: 11,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.78 : 14,519.61 = 7,689.66 : x
  2. Step 2: Convert to fraction form
    9,675.78/14,519.61 = 7,689.66/x
  3. Step 3: Cross multiply
    9,675.78x = 14,519.61 × 7,689.66
  4. Step 4: Simplify right side
    9,675.78x = 111,650,864.23
  5. Step 5: Solve for x
    x = 111,650,864.23/9,675.78
  6. Step 6: Final answer
    x = 11,539.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.