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Finding the Fourth Proportional to 7,161.06, 9,882.34 and 4,017.32

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Solution

The fourth proportional to 7,161.06, 9,882.34 and 4,017.32 is: 5,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.06 : 9,882.34 = 4,017.32 : x
  2. Step 2: Convert to fraction form
    7,161.06/9,882.34 = 4,017.32/x
  3. Step 3: Cross multiply
    7,161.06x = 9,882.34 × 4,017.32
  4. Step 4: Simplify right side
    7,161.06x = 39,700,477.34
  5. Step 5: Solve for x
    x = 39,700,477.34/7,161.06
  6. Step 6: Final answer
    x = 5,543.94

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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.