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Finding the Fourth Proportional to 7,109.18, 9,805.38 and 5,220.17

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Solution

The fourth proportional to 7,109.18, 9,805.38 and 5,220.17 is: 7,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.18 : 9,805.38 = 5,220.17 : x
  2. Step 2: Convert to fraction form
    7,109.18/9,805.38 = 5,220.17/x
  3. Step 3: Cross multiply
    7,109.18x = 9,805.38 × 5,220.17
  4. Step 4: Simplify right side
    7,109.18x = 51,185,750.51
  5. Step 5: Solve for x
    x = 51,185,750.51/7,109.18
  6. Step 6: Final answer
    x = 7,199.95

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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.