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Finding the Fourth Proportional to 9,184.58, 13,768.16 and 3,641.34

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Solution

The fourth proportional to 9,184.58, 13,768.16 and 3,641.34 is: 5,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.58 : 13,768.16 = 3,641.34 : x
  2. Step 2: Convert to fraction form
    9,184.58/13,768.16 = 3,641.34/x
  3. Step 3: Cross multiply
    9,184.58x = 13,768.16 × 3,641.34
  4. Step 4: Simplify right side
    9,184.58x = 50,134,533.53
  5. Step 5: Solve for x
    x = 50,134,533.53/9,184.58
  6. Step 6: Final answer
    x = 5,458.56

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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.