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Finding the Fourth Proportional to 9,594.79, 14,394.23 and 5,436.79

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Solution

The fourth proportional to 9,594.79, 14,394.23 and 5,436.79 is: 8,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.79 : 14,394.23 = 5,436.79 : x
  2. Step 2: Convert to fraction form
    9,594.79/14,394.23 = 5,436.79/x
  3. Step 3: Cross multiply
    9,594.79x = 14,394.23 × 5,436.79
  4. Step 4: Simplify right side
    9,594.79x = 78,258,405.72
  5. Step 5: Solve for x
    x = 78,258,405.72/9,594.79
  6. Step 6: Final answer
    x = 8,156.34

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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.