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Finding the Fourth Proportional to 6,504.29, 9,756.44 and 1,573.91

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Solution

The fourth proportional to 6,504.29, 9,756.44 and 1,573.91 is: 2,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.29 : 9,756.44 = 1,573.91 : x
  2. Step 2: Convert to fraction form
    6,504.29/9,756.44 = 1,573.91/x
  3. Step 3: Cross multiply
    6,504.29x = 9,756.44 × 1,573.91
  4. Step 4: Simplify right side
    6,504.29x = 15,355,758.48
  5. Step 5: Solve for x
    x = 15,355,758.48/6,504.29
  6. Step 6: Final answer
    x = 2,360.87

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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.