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Finding the Fourth Proportional to 9,884.06, 14,823.04 and 5,201.53

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Solution

The fourth proportional to 9,884.06, 14,823.04 and 5,201.53 is: 7,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.06 : 14,823.04 = 5,201.53 : x
  2. Step 2: Convert to fraction form
    9,884.06/14,823.04 = 5,201.53/x
  3. Step 3: Cross multiply
    9,884.06x = 14,823.04 × 5,201.53
  4. Step 4: Simplify right side
    9,884.06x = 77,102,487.25
  5. Step 5: Solve for x
    x = 77,102,487.25/9,884.06
  6. Step 6: Final answer
    x = 7,800.69

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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.