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Finding the Fourth Proportional to 6,428.09, 9,642.04 and 2,045.49

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Solution

The fourth proportional to 6,428.09, 9,642.04 and 2,045.49 is: 3,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.09 : 9,642.04 = 2,045.49 : x
  2. Step 2: Convert to fraction form
    6,428.09/9,642.04 = 2,045.49/x
  3. Step 3: Cross multiply
    6,428.09x = 9,642.04 × 2,045.49
  4. Step 4: Simplify right side
    6,428.09x = 19,722,655.13
  5. Step 5: Solve for x
    x = 19,722,655.13/6,428.09
  6. Step 6: Final answer
    x = 3,068.20

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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.