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Finding the Fourth Proportional to 6,509.55, 9,764.34 and 1,579.17

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Solution

The fourth proportional to 6,509.55, 9,764.34 and 1,579.17 is: 2,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.55 : 9,764.34 = 1,579.17 : x
  2. Step 2: Convert to fraction form
    6,509.55/9,764.34 = 1,579.17/x
  3. Step 3: Cross multiply
    6,509.55x = 9,764.34 × 1,579.17
  4. Step 4: Simplify right side
    6,509.55x = 15,419,552.80
  5. Step 5: Solve for x
    x = 15,419,552.80/6,509.55
  6. Step 6: Final answer
    x = 2,368.76

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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.