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Finding the Fourth Proportional to 9,387.50, 14,090.09 and 5,884.52

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Solution

The fourth proportional to 9,387.50, 14,090.09 and 5,884.52 is: 8,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.50 : 14,090.09 = 5,884.52 : x
  2. Step 2: Convert to fraction form
    9,387.50/14,090.09 = 5,884.52/x
  3. Step 3: Cross multiply
    9,387.50x = 14,090.09 × 5,884.52
  4. Step 4: Simplify right side
    9,387.50x = 82,913,316.53
  5. Step 5: Solve for x
    x = 82,913,316.53/9,387.50
  6. Step 6: Final answer
    x = 8,832.32

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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.