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Finding the Fourth Proportional to 7,092.19, 9,774.97 and 5,320.72

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Solution

The fourth proportional to 7,092.19, 9,774.97 and 5,320.72 is: 7,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.19 : 9,774.97 = 5,320.72 : x
  2. Step 2: Convert to fraction form
    7,092.19/9,774.97 = 5,320.72/x
  3. Step 3: Cross multiply
    7,092.19x = 9,774.97 × 5,320.72
  4. Step 4: Simplify right side
    7,092.19x = 52,009,878.38
  5. Step 5: Solve for x
    x = 52,009,878.38/7,092.19
  6. Step 6: Final answer
    x = 7,333.40

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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.