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Finding the Fourth Proportional to 9,594.32, 13,240.76 and 5,817.82

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Solution

The fourth proportional to 9,594.32, 13,240.76 and 5,817.82 is: 8,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.32 : 13,240.76 = 5,817.82 : x
  2. Step 2: Convert to fraction form
    9,594.32/13,240.76 = 5,817.82/x
  3. Step 3: Cross multiply
    9,594.32x = 13,240.76 × 5,817.82
  4. Step 4: Simplify right side
    9,594.32x = 77,032,358.34
  5. Step 5: Solve for x
    x = 77,032,358.34/9,594.32
  6. Step 6: Final answer
    x = 8,028.95

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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.