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Finding the Fourth Proportional to 9,574.25, 13,211.01 and 5,381.69

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Solution

The fourth proportional to 9,574.25, 13,211.01 and 5,381.69 is: 7,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.25 : 13,211.01 = 5,381.69 : x
  2. Step 2: Convert to fraction form
    9,574.25/13,211.01 = 5,381.69/x
  3. Step 3: Cross multiply
    9,574.25x = 13,211.01 × 5,381.69
  4. Step 4: Simplify right side
    9,574.25x = 71,097,494.35
  5. Step 5: Solve for x
    x = 71,097,494.35/9,574.25
  6. Step 6: Final answer
    x = 7,425.91

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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.