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Finding the Fourth Proportional to 7,107.66, 9,809.01 and 3,920.94

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Solution

The fourth proportional to 7,107.66, 9,809.01 and 3,920.94 is: 5,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.66 : 9,809.01 = 3,920.94 : x
  2. Step 2: Convert to fraction form
    7,107.66/9,809.01 = 3,920.94/x
  3. Step 3: Cross multiply
    7,107.66x = 9,809.01 × 3,920.94
  4. Step 4: Simplify right side
    7,107.66x = 38,460,539.67
  5. Step 5: Solve for x
    x = 38,460,539.67/7,107.66
  6. Step 6: Final answer
    x = 5,411.14

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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.