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Finding the Fourth Proportional to 6,130.90, 9,192.99 and 2,429.38

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Solution

The fourth proportional to 6,130.90, 9,192.99 and 2,429.38 is: 3,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.90 : 9,192.99 = 2,429.38 : x
  2. Step 2: Convert to fraction form
    6,130.90/9,192.99 = 2,429.38/x
  3. Step 3: Cross multiply
    6,130.90x = 9,192.99 × 2,429.38
  4. Step 4: Simplify right side
    6,130.90x = 22,333,266.05
  5. Step 5: Solve for x
    x = 22,333,266.05/6,130.90
  6. Step 6: Final answer
    x = 3,642.74

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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.