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Finding the Fourth Proportional to 9,449.69, 13,042.00 and 5,674.93

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Solution

The fourth proportional to 9,449.69, 13,042.00 and 5,674.93 is: 7,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.69 : 13,042.00 = 5,674.93 : x
  2. Step 2: Convert to fraction form
    9,449.69/13,042.00 = 5,674.93/x
  3. Step 3: Cross multiply
    9,449.69x = 13,042.00 × 5,674.93
  4. Step 4: Simplify right side
    9,449.69x = 74,012,484.91
  5. Step 5: Solve for x
    x = 74,012,484.91/9,449.69
  6. Step 6: Final answer
    x = 7,832.27

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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.