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Finding the Fourth Proportional to 7,109.78, 9,809.52 and 4,125.02

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Solution

The fourth proportional to 7,109.78, 9,809.52 and 4,125.02 is: 5,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.78 : 9,809.52 = 4,125.02 : x
  2. Step 2: Convert to fraction form
    7,109.78/9,809.52 = 4,125.02/x
  3. Step 3: Cross multiply
    7,109.78x = 9,809.52 × 4,125.02
  4. Step 4: Simplify right side
    7,109.78x = 40,464,466.19
  5. Step 5: Solve for x
    x = 40,464,466.19/7,109.78
  6. Step 6: Final answer
    x = 5,691.38

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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.