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Finding the Fourth Proportional to 6,106.56, 9,154.17 and 2,210.10

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Solution

The fourth proportional to 6,106.56, 9,154.17 and 2,210.10 is: 3,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.56 : 9,154.17 = 2,210.10 : x
  2. Step 2: Convert to fraction form
    6,106.56/9,154.17 = 2,210.10/x
  3. Step 3: Cross multiply
    6,106.56x = 9,154.17 × 2,210.10
  4. Step 4: Simplify right side
    6,106.56x = 20,231,631.12
  5. Step 5: Solve for x
    x = 20,231,631.12/6,106.56
  6. Step 6: Final answer
    x = 3,313.10

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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.