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Finding the Fourth Proportional to 9,135.67, 13,703.46 and 2,210.17

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Solution

The fourth proportional to 9,135.67, 13,703.46 and 2,210.17 is: 3,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.67 : 13,703.46 = 2,210.17 : x
  2. Step 2: Convert to fraction form
    9,135.67/13,703.46 = 2,210.17/x
  3. Step 3: Cross multiply
    9,135.67x = 13,703.46 × 2,210.17
  4. Step 4: Simplify right side
    9,135.67x = 30,286,976.19
  5. Step 5: Solve for x
    x = 30,286,976.19/9,135.67
  6. Step 6: Final answer
    x = 3,315.24

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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.