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Finding the Fourth Proportional to 6,294.01, 9,443.58 and 4,045.06

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Solution

The fourth proportional to 6,294.01, 9,443.58 and 4,045.06 is: 6,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.01 : 9,443.58 = 4,045.06 : x
  2. Step 2: Convert to fraction form
    6,294.01/9,443.58 = 4,045.06/x
  3. Step 3: Cross multiply
    6,294.01x = 9,443.58 × 4,045.06
  4. Step 4: Simplify right side
    6,294.01x = 38,199,879.43
  5. Step 5: Solve for x
    x = 38,199,879.43/6,294.01
  6. Step 6: Final answer
    x = 6,069.24

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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.