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Finding the Fourth Proportional to 6,388.56, 9,572.02 and 4,051.20

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Solution

The fourth proportional to 6,388.56, 9,572.02 and 4,051.20 is: 6,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.56 : 9,572.02 = 4,051.20 : x
  2. Step 2: Convert to fraction form
    6,388.56/9,572.02 = 4,051.20/x
  3. Step 3: Cross multiply
    6,388.56x = 9,572.02 × 4,051.20
  4. Step 4: Simplify right side
    6,388.56x = 38,778,167.42
  5. Step 5: Solve for x
    x = 38,778,167.42/6,388.56
  6. Step 6: Final answer
    x = 6,069.94

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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.