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Finding the Fourth Proportional to 6,379.95, 9,557.16 and 5,065.92

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Solution

The fourth proportional to 6,379.95, 9,557.16 and 5,065.92 is: 7,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.95 : 9,557.16 = 5,065.92 : x
  2. Step 2: Convert to fraction form
    6,379.95/9,557.16 = 5,065.92/x
  3. Step 3: Cross multiply
    6,379.95x = 9,557.16 × 5,065.92
  4. Step 4: Simplify right side
    6,379.95x = 48,415,807.99
  5. Step 5: Solve for x
    x = 48,415,807.99/6,379.95
  6. Step 6: Final answer
    x = 7,588.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.