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Finding the Fourth Proportional to 9,860.84, 13,609.14 and 5,669

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Solution

The fourth proportional to 9,860.84, 13,609.14 and 5,669 is: 7,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.84 : 13,609.14 = 5,669 : x
  2. Step 2: Convert to fraction form
    9,860.84/13,609.14 = 5,669/x
  3. Step 3: Cross multiply
    9,860.84x = 13,609.14 × 5,669
  4. Step 4: Simplify right side
    9,860.84x = 77,150,214.66
  5. Step 5: Solve for x
    x = 77,150,214.66/9,860.84
  6. Step 6: Final answer
    x = 7,823.90

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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.