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Finding the Fourth Proportional to 6,120.04, 9,152.04 and 4,561.16

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Solution

The fourth proportional to 6,120.04, 9,152.04 and 4,561.16 is: 6,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.04 : 9,152.04 = 4,561.16 : x
  2. Step 2: Convert to fraction form
    6,120.04/9,152.04 = 4,561.16/x
  3. Step 3: Cross multiply
    6,120.04x = 9,152.04 × 4,561.16
  4. Step 4: Simplify right side
    6,120.04x = 41,743,918.77
  5. Step 5: Solve for x
    x = 41,743,918.77/6,120.04
  6. Step 6: Final answer
    x = 6,820.86

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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.