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Finding the Fourth Proportional to 6,180, 9,272.16 and 4,610.40

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Solution

The fourth proportional to 6,180, 9,272.16 and 4,610.40 is: 6,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 9,272.16 = 4,610.40 : x
  2. Step 2: Convert to fraction form
    6,180/9,272.16 = 4,610.40/x
  3. Step 3: Cross multiply
    6,180x = 9,272.16 × 4,610.40
  4. Step 4: Simplify right side
    6,180x = 42,748,366.46
  5. Step 5: Solve for x
    x = 42,748,366.46/6,180
  6. Step 6: Final answer
    x = 6,917.21

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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.