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Finding the Fourth Proportional to 7,141.77, 9,860.46 and 4,454.04

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Solution

The fourth proportional to 7,141.77, 9,860.46 and 4,454.04 is: 6,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.77 : 9,860.46 = 4,454.04 : x
  2. Step 2: Convert to fraction form
    7,141.77/9,860.46 = 4,454.04/x
  3. Step 3: Cross multiply
    7,141.77x = 9,860.46 × 4,454.04
  4. Step 4: Simplify right side
    7,141.77x = 43,918,883.26
  5. Step 5: Solve for x
    x = 43,918,883.26/7,141.77
  6. Step 6: Final answer
    x = 6,149.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.