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Finding the Fourth Proportional to 7,166, 9,890.16 and 4,373.12

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Solution

The fourth proportional to 7,166, 9,890.16 and 4,373.12 is: 6,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 9,890.16 = 4,373.12 : x
  2. Step 2: Convert to fraction form
    7,166/9,890.16 = 4,373.12/x
  3. Step 3: Cross multiply
    7,166x = 9,890.16 × 4,373.12
  4. Step 4: Simplify right side
    7,166x = 43,250,856.50
  5. Step 5: Solve for x
    x = 43,250,856.50/7,166
  6. Step 6: Final answer
    x = 6,035.56

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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.