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Finding the Fourth Proportional to 9,549.36, 14,328.15 and 6,793.74

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Solution

The fourth proportional to 9,549.36, 14,328.15 and 6,793.74 is: 10,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.36 : 14,328.15 = 6,793.74 : x
  2. Step 2: Convert to fraction form
    9,549.36/14,328.15 = 6,793.74/x
  3. Step 3: Cross multiply
    9,549.36x = 14,328.15 × 6,793.74
  4. Step 4: Simplify right side
    9,549.36x = 97,341,725.78
  5. Step 5: Solve for x
    x = 97,341,725.78/9,549.36
  6. Step 6: Final answer
    x = 10,193.53

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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.