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Finding the Fourth Proportional to 6,125.53, 9,191.31 and 2,430.40

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Solution

The fourth proportional to 6,125.53, 9,191.31 and 2,430.40 is: 3,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.53 : 9,191.31 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    6,125.53/9,191.31 = 2,430.40/x
  3. Step 3: Cross multiply
    6,125.53x = 9,191.31 × 2,430.40
  4. Step 4: Simplify right side
    6,125.53x = 22,338,559.82
  5. Step 5: Solve for x
    x = 22,338,559.82/6,125.53
  6. Step 6: Final answer
    x = 3,646.80

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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.