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Finding the Fourth Proportional to 6,564.70, 9,048.67 and 5,711.77

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Solution

The fourth proportional to 6,564.70, 9,048.67 and 5,711.77 is: 7,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.70 : 9,048.67 = 5,711.77 : x
  2. Step 2: Convert to fraction form
    6,564.70/9,048.67 = 5,711.77/x
  3. Step 3: Cross multiply
    6,564.70x = 9,048.67 × 5,711.77
  4. Step 4: Simplify right side
    6,564.70x = 51,683,921.85
  5. Step 5: Solve for x
    x = 51,683,921.85/6,564.70
  6. Step 6: Final answer
    x = 7,873.01

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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.