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Finding the Fourth Proportional to 6,120.34, 9,156.48 and 4,723.12

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Solution

The fourth proportional to 6,120.34, 9,156.48 and 4,723.12 is: 7,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.34 : 9,156.48 = 4,723.12 : x
  2. Step 2: Convert to fraction form
    6,120.34/9,156.48 = 4,723.12/x
  3. Step 3: Cross multiply
    6,120.34x = 9,156.48 × 4,723.12
  4. Step 4: Simplify right side
    6,120.34x = 43,247,153.82
  5. Step 5: Solve for x
    x = 43,247,153.82/6,120.34
  6. Step 6: Final answer
    x = 7,066.14

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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.