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Finding the Fourth Proportional to 6,114.32, 9,161.88 and 4,731.10

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Solution

The fourth proportional to 6,114.32, 9,161.88 and 4,731.10 is: 7,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.32 : 9,161.88 = 4,731.10 : x
  2. Step 2: Convert to fraction form
    6,114.32/9,161.88 = 4,731.10/x
  3. Step 3: Cross multiply
    6,114.32x = 9,161.88 × 4,731.10
  4. Step 4: Simplify right side
    6,114.32x = 43,345,770.47
  5. Step 5: Solve for x
    x = 43,345,770.47/6,114.32
  6. Step 6: Final answer
    x = 7,089.22

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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.