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Finding the Fourth Proportional to 9,117.99, 12,581.04 and 5,578.69

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Solution

The fourth proportional to 9,117.99, 12,581.04 and 5,578.69 is: 7,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.99 : 12,581.04 = 5,578.69 : x
  2. Step 2: Convert to fraction form
    9,117.99/12,581.04 = 5,578.69/x
  3. Step 3: Cross multiply
    9,117.99x = 12,581.04 × 5,578.69
  4. Step 4: Simplify right side
    9,117.99x = 70,185,722.04
  5. Step 5: Solve for x
    x = 70,185,722.04/9,117.99
  6. Step 6: Final answer
    x = 7,697.50

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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.