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Finding the Fourth Proportional to 6,572.64, 9,867.60 and 6,029.28

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Solution

The fourth proportional to 6,572.64, 9,867.60 and 6,029.28 is: 9,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.64 : 9,867.60 = 6,029.28 : x
  2. Step 2: Convert to fraction form
    6,572.64/9,867.60 = 6,029.28/x
  3. Step 3: Cross multiply
    6,572.64x = 9,867.60 × 6,029.28
  4. Step 4: Simplify right side
    6,572.64x = 59,494,523.33
  5. Step 5: Solve for x
    x = 59,494,523.33/6,572.64
  6. Step 6: Final answer
    x = 9,051.85

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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.