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Finding the Fourth Proportional to 9,178.11, 13,765.34 and 4,496.10

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Solution

The fourth proportional to 9,178.11, 13,765.34 and 4,496.10 is: 6,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.11 : 13,765.34 = 4,496.10 : x
  2. Step 2: Convert to fraction form
    9,178.11/13,765.34 = 4,496.10/x
  3. Step 3: Cross multiply
    9,178.11x = 13,765.34 × 4,496.10
  4. Step 4: Simplify right side
    9,178.11x = 61,890,322.69
  5. Step 5: Solve for x
    x = 61,890,322.69/9,178.11
  6. Step 6: Final answer
    x = 6,743.25

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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.