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Finding the Fourth Proportional to 9,036.84, 12,464.56 and 7,689

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Solution

The fourth proportional to 9,036.84, 12,464.56 and 7,689 is: 10,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.84 : 12,464.56 = 7,689 : x
  2. Step 2: Convert to fraction form
    9,036.84/12,464.56 = 7,689/x
  3. Step 3: Cross multiply
    9,036.84x = 12,464.56 × 7,689
  4. Step 4: Simplify right side
    9,036.84x = 95,840,001.84
  5. Step 5: Solve for x
    x = 95,840,001.84/9,036.84
  6. Step 6: Final answer
    x = 10,605.48

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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.