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Finding the Fourth Proportional to 9,596.59, 14,362.35 and 5,901.15

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Solution

The fourth proportional to 9,596.59, 14,362.35 and 5,901.15 is: 8,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.59 : 14,362.35 = 5,901.15 : x
  2. Step 2: Convert to fraction form
    9,596.59/14,362.35 = 5,901.15/x
  3. Step 3: Cross multiply
    9,596.59x = 14,362.35 × 5,901.15
  4. Step 4: Simplify right side
    9,596.59x = 84,754,309.89
  5. Step 5: Solve for x
    x = 84,754,309.89/9,596.59
  6. Step 6: Final answer
    x = 8,831.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.