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Finding the Fourth Proportional to 9,884.16, 14,824.80 and 5,987.52

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Solution

The fourth proportional to 9,884.16, 14,824.80 and 5,987.52 is: 8,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.16 : 14,824.80 = 5,987.52 : x
  2. Step 2: Convert to fraction form
    9,884.16/14,824.80 = 5,987.52/x
  3. Step 3: Cross multiply
    9,884.16x = 14,824.80 × 5,987.52
  4. Step 4: Simplify right side
    9,884.16x = 88,763,786.50
  5. Step 5: Solve for x
    x = 88,763,786.50/9,884.16
  6. Step 6: Final answer
    x = 8,980.41

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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.