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Finding the Fourth Proportional to 6,114.60, 9,151.65 and 4,443.98

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Solution

The fourth proportional to 6,114.60, 9,151.65 and 4,443.98 is: 6,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.60 : 9,151.65 = 4,443.98 : x
  2. Step 2: Convert to fraction form
    6,114.60/9,151.65 = 4,443.98/x
  3. Step 3: Cross multiply
    6,114.60x = 9,151.65 × 4,443.98
  4. Step 4: Simplify right side
    6,114.60x = 40,669,703.81
  5. Step 5: Solve for x
    x = 40,669,703.81/6,114.60
  6. Step 6: Final answer
    x = 6,651.25

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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.