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Finding the Fourth Proportional to 9,155.94, 13,722.66 and 4,218.72

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Solution

The fourth proportional to 9,155.94, 13,722.66 and 4,218.72 is: 6,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.94 : 13,722.66 = 4,218.72 : x
  2. Step 2: Convert to fraction form
    9,155.94/13,722.66 = 4,218.72/x
  3. Step 3: Cross multiply
    9,155.94x = 13,722.66 × 4,218.72
  4. Step 4: Simplify right side
    9,155.94x = 57,892,060.20
  5. Step 5: Solve for x
    x = 57,892,060.20/9,155.94
  6. Step 6: Final answer
    x = 6,322.90

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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.