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Finding the Fourth Proportional to 9,159.58, 13,737.83 and 2,584.22

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Solution

The fourth proportional to 9,159.58, 13,737.83 and 2,584.22 is: 3,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.58 : 13,737.83 = 2,584.22 : x
  2. Step 2: Convert to fraction form
    9,159.58/13,737.83 = 2,584.22/x
  3. Step 3: Cross multiply
    9,159.58x = 13,737.83 × 2,584.22
  4. Step 4: Simplify right side
    9,159.58x = 35,501,575.04
  5. Step 5: Solve for x
    x = 35,501,575.04/9,159.58
  6. Step 6: Final answer
    x = 3,875.90

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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.