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Finding the Fourth Proportional to 9,596.54, 14,397 and 2,933.66

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Solution

The fourth proportional to 9,596.54, 14,397 and 2,933.66 is: 4,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.54 : 14,397 = 2,933.66 : x
  2. Step 2: Convert to fraction form
    9,596.54/14,397 = 2,933.66/x
  3. Step 3: Cross multiply
    9,596.54x = 14,397 × 2,933.66
  4. Step 4: Simplify right side
    9,596.54x = 42,235,831.04
  5. Step 5: Solve for x
    x = 42,235,831.04/9,596.54
  6. Step 6: Final answer
    x = 4,401.15

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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.