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Finding the Fourth Proportional to 6,646.23, 9,980.58 and 6,381.36

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Solution

The fourth proportional to 6,646.23, 9,980.58 and 6,381.36 is: 9,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.23 : 9,980.58 = 6,381.36 : x
  2. Step 2: Convert to fraction form
    6,646.23/9,980.58 = 6,381.36/x
  3. Step 3: Cross multiply
    6,646.23x = 9,980.58 × 6,381.36
  4. Step 4: Simplify right side
    6,646.23x = 63,689,673.99
  5. Step 5: Solve for x
    x = 63,689,673.99/6,646.23
  6. Step 6: Final answer
    x = 9,582.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.