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Finding the Fourth Proportional to 6,381.60, 9,578.72 and 5,225.32

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Solution

The fourth proportional to 6,381.60, 9,578.72 and 5,225.32 is: 7,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 9,578.72 = 5,225.32 : x
  2. Step 2: Convert to fraction form
    6,381.60/9,578.72 = 5,225.32/x
  3. Step 3: Cross multiply
    6,381.60x = 9,578.72 × 5,225.32
  4. Step 4: Simplify right side
    6,381.60x = 50,051,877.19
  5. Step 5: Solve for x
    x = 50,051,877.19/6,381.60
  6. Step 6: Final answer
    x = 7,843.15

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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.