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Finding the Fourth Proportional to 9,574.26, 13,212.80 and 5,798.13

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Solution

The fourth proportional to 9,574.26, 13,212.80 and 5,798.13 is: 8,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.26 : 13,212.80 = 5,798.13 : x
  2. Step 2: Convert to fraction form
    9,574.26/13,212.80 = 5,798.13/x
  3. Step 3: Cross multiply
    9,574.26x = 13,212.80 × 5,798.13
  4. Step 4: Simplify right side
    9,574.26x = 76,609,503.07
  5. Step 5: Solve for x
    x = 76,609,503.07/9,574.26
  6. Step 6: Final answer
    x = 8,001.61

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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.