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Finding the Fourth Proportional to 6,545.93, 9,814.12 and 2,101.07

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Solution

The fourth proportional to 6,545.93, 9,814.12 and 2,101.07 is: 3,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.93 : 9,814.12 = 2,101.07 : x
  2. Step 2: Convert to fraction form
    6,545.93/9,814.12 = 2,101.07/x
  3. Step 3: Cross multiply
    6,545.93x = 9,814.12 × 2,101.07
  4. Step 4: Simplify right side
    6,545.93x = 20,620,128.03
  5. Step 5: Solve for x
    x = 20,620,128.03/6,545.93
  6. Step 6: Final answer
    x = 3,150.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.