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Finding the Fourth Proportional to 7,002.11, 9,662 and 4,484.46

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Solution

The fourth proportional to 7,002.11, 9,662 and 4,484.46 is: 6,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.11 : 9,662 = 4,484.46 : x
  2. Step 2: Convert to fraction form
    7,002.11/9,662 = 4,484.46/x
  3. Step 3: Cross multiply
    7,002.11x = 9,662 × 4,484.46
  4. Step 4: Simplify right side
    7,002.11x = 43,328,852.52
  5. Step 5: Solve for x
    x = 43,328,852.52/7,002.11
  6. Step 6: Final answer
    x = 6,187.97

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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.