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Finding the Fourth Proportional to 9,606.08, 13,254.38 and 5,831.22

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Solution

The fourth proportional to 9,606.08, 13,254.38 and 5,831.22 is: 8,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.08 : 13,254.38 = 5,831.22 : x
  2. Step 2: Convert to fraction form
    9,606.08/13,254.38 = 5,831.22/x
  3. Step 3: Cross multiply
    9,606.08x = 13,254.38 × 5,831.22
  4. Step 4: Simplify right side
    9,606.08x = 77,289,176.59
  5. Step 5: Solve for x
    x = 77,289,176.59/9,606.08
  6. Step 6: Final answer
    x = 8,045.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.