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Finding the Fourth Proportional to 9,101.58, 13,643.87 and 4,166.25

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Solution

The fourth proportional to 9,101.58, 13,643.87 and 4,166.25 is: 6,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.58 : 13,643.87 = 4,166.25 : x
  2. Step 2: Convert to fraction form
    9,101.58/13,643.87 = 4,166.25/x
  3. Step 3: Cross multiply
    9,101.58x = 13,643.87 × 4,166.25
  4. Step 4: Simplify right side
    9,101.58x = 56,843,752.56
  5. Step 5: Solve for x
    x = 56,843,752.56/9,101.58
  6. Step 6: Final answer
    x = 6,245.48

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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.