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Finding the Fourth Proportional to 6,989.48, 9,646.98 and 4,005.80

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Solution

The fourth proportional to 6,989.48, 9,646.98 and 4,005.80 is: 5,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.48 : 9,646.98 = 4,005.80 : x
  2. Step 2: Convert to fraction form
    6,989.48/9,646.98 = 4,005.80/x
  3. Step 3: Cross multiply
    6,989.48x = 9,646.98 × 4,005.80
  4. Step 4: Simplify right side
    6,989.48x = 38,643,872.48
  5. Step 5: Solve for x
    x = 38,643,872.48/6,989.48
  6. Step 6: Final answer
    x = 5,528.86

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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.