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Finding the Fourth Proportional to 6,385.32, 9,577.56 and 3,920.52

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Solution

The fourth proportional to 6,385.32, 9,577.56 and 3,920.52 is: 5,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.32 : 9,577.56 = 3,920.52 : x
  2. Step 2: Convert to fraction form
    6,385.32/9,577.56 = 3,920.52/x
  3. Step 3: Cross multiply
    6,385.32x = 9,577.56 × 3,920.52
  4. Step 4: Simplify right side
    6,385.32x = 37,549,015.53
  5. Step 5: Solve for x
    x = 37,549,015.53/6,385.32
  6. Step 6: Final answer
    x = 5,880.52

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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.