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Finding the Fourth Proportional to 9,594.29, 14,393.48 and 5,436.29

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Solution

The fourth proportional to 9,594.29, 14,393.48 and 5,436.29 is: 8,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.29 : 14,393.48 = 5,436.29 : x
  2. Step 2: Convert to fraction form
    9,594.29/14,393.48 = 5,436.29/x
  3. Step 3: Cross multiply
    9,594.29x = 14,393.48 × 5,436.29
  4. Step 4: Simplify right side
    9,594.29x = 78,247,032.24
  5. Step 5: Solve for x
    x = 78,247,032.24/9,594.29
  6. Step 6: Final answer
    x = 8,155.59

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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.