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Finding the Fourth Proportional to 6,442.16, 9,641.36 and 4,987.80

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Solution

The fourth proportional to 6,442.16, 9,641.36 and 4,987.80 is: 7,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.16 : 9,641.36 = 4,987.80 : x
  2. Step 2: Convert to fraction form
    6,442.16/9,641.36 = 4,987.80/x
  3. Step 3: Cross multiply
    6,442.16x = 9,641.36 × 4,987.80
  4. Step 4: Simplify right side
    6,442.16x = 48,089,175.41
  5. Step 5: Solve for x
    x = 48,089,175.41/6,442.16
  6. Step 6: Final answer
    x = 7,464.76

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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.