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Finding the Fourth Proportional to 6,990.50, 9,646.08 and 4,006.46

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Solution

The fourth proportional to 6,990.50, 9,646.08 and 4,006.46 is: 5,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.50 : 9,646.08 = 4,006.46 : x
  2. Step 2: Convert to fraction form
    6,990.50/9,646.08 = 4,006.46/x
  3. Step 3: Cross multiply
    6,990.50x = 9,646.08 × 4,006.46
  4. Step 4: Simplify right side
    6,990.50x = 38,646,633.68
  5. Step 5: Solve for x
    x = 38,646,633.68/6,990.50
  6. Step 6: Final answer
    x = 5,528.45

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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.