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Finding the Fourth Proportional to 6,106.99, 9,160.47 and 2,210.49

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Solution

The fourth proportional to 6,106.99, 9,160.47 and 2,210.49 is: 3,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.99 : 9,160.47 = 2,210.49 : x
  2. Step 2: Convert to fraction form
    6,106.99/9,160.47 = 2,210.49/x
  3. Step 3: Cross multiply
    6,106.99x = 9,160.47 × 2,210.49
  4. Step 4: Simplify right side
    6,106.99x = 20,249,127.33
  5. Step 5: Solve for x
    x = 20,249,127.33/6,106.99
  6. Step 6: Final answer
    x = 3,315.73

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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.