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Finding the Fourth Proportional to 6,592.02, 9,870.81 and 5,269.69

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Solution

The fourth proportional to 6,592.02, 9,870.81 and 5,269.69 is: 7,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.02 : 9,870.81 = 5,269.69 : x
  2. Step 2: Convert to fraction form
    6,592.02/9,870.81 = 5,269.69/x
  3. Step 3: Cross multiply
    6,592.02x = 9,870.81 × 5,269.69
  4. Step 4: Simplify right side
    6,592.02x = 52,016,108.75
  5. Step 5: Solve for x
    x = 52,016,108.75/6,592.02
  6. Step 6: Final answer
    x = 7,890.77

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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.