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Finding the Fourth Proportional to 6,530.67, 9,014.13 and 4,141.02

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Solution

The fourth proportional to 6,530.67, 9,014.13 and 4,141.02 is: 5,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.67 : 9,014.13 = 4,141.02 : x
  2. Step 2: Convert to fraction form
    6,530.67/9,014.13 = 4,141.02/x
  3. Step 3: Cross multiply
    6,530.67x = 9,014.13 × 4,141.02
  4. Step 4: Simplify right side
    6,530.67x = 37,327,692.61
  5. Step 5: Solve for x
    x = 37,327,692.61/6,530.67
  6. Step 6: Final answer
    x = 5,715.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.