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Finding the Fourth Proportional to 7,106.78, 9,808.26 and 5,909.70

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Solution

The fourth proportional to 7,106.78, 9,808.26 and 5,909.70 is: 8,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.78 : 9,808.26 = 5,909.70 : x
  2. Step 2: Convert to fraction form
    7,106.78/9,808.26 = 5,909.70/x
  3. Step 3: Cross multiply
    7,106.78x = 9,808.26 × 5,909.70
  4. Step 4: Simplify right side
    7,106.78x = 57,963,874.12
  5. Step 5: Solve for x
    x = 57,963,874.12/7,106.78
  6. Step 6: Final answer
    x = 8,156.14

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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.