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Finding the Fourth Proportional to 7,064.86, 9,727.28 and 6,000.34

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Solution

The fourth proportional to 7,064.86, 9,727.28 and 6,000.34 is: 8,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.86 : 9,727.28 = 6,000.34 : x
  2. Step 2: Convert to fraction form
    7,064.86/9,727.28 = 6,000.34/x
  3. Step 3: Cross multiply
    7,064.86x = 9,727.28 × 6,000.34
  4. Step 4: Simplify right side
    7,064.86x = 58,366,987.28
  5. Step 5: Solve for x
    x = 58,366,987.28/7,064.86
  6. Step 6: Final answer
    x = 8,261.59

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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.