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Finding the Fourth Proportional to 9,608.03, 14,384.02 and 5,899.02

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Solution

The fourth proportional to 9,608.03, 14,384.02 and 5,899.02 is: 8,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.03 : 14,384.02 = 5,899.02 : x
  2. Step 2: Convert to fraction form
    9,608.03/14,384.02 = 5,899.02/x
  3. Step 3: Cross multiply
    9,608.03x = 14,384.02 × 5,899.02
  4. Step 4: Simplify right side
    9,608.03x = 84,851,621.66
  5. Step 5: Solve for x
    x = 84,851,621.66/9,608.03
  6. Step 6: Final answer
    x = 8,831.32

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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.