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Finding the Fourth Proportional to 7,109.98, 9,809.13 and 4,124.14

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Solution

The fourth proportional to 7,109.98, 9,809.13 and 4,124.14 is: 5,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.98 : 9,809.13 = 4,124.14 : x
  2. Step 2: Convert to fraction form
    7,109.98/9,809.13 = 4,124.14/x
  3. Step 3: Cross multiply
    7,109.98x = 9,809.13 × 4,124.14
  4. Step 4: Simplify right side
    7,109.98x = 40,454,225.40
  5. Step 5: Solve for x
    x = 40,454,225.40/7,109.98
  6. Step 6: Final answer
    x = 5,689.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.