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Finding the Fourth Proportional to 6,146.32, 9,220.56 and 1,987.24

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Solution

The fourth proportional to 6,146.32, 9,220.56 and 1,987.24 is: 2,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.32 : 9,220.56 = 1,987.24 : x
  2. Step 2: Convert to fraction form
    6,146.32/9,220.56 = 1,987.24/x
  3. Step 3: Cross multiply
    6,146.32x = 9,220.56 × 1,987.24
  4. Step 4: Simplify right side
    6,146.32x = 18,323,465.65
  5. Step 5: Solve for x
    x = 18,323,465.65/6,146.32
  6. Step 6: Final answer
    x = 2,981.21

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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.