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Finding the Fourth Proportional to 7,020.13, 9,689.01 and 4,187.68

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Solution

The fourth proportional to 7,020.13, 9,689.01 and 4,187.68 is: 5,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.13 : 9,689.01 = 4,187.68 : x
  2. Step 2: Convert to fraction form
    7,020.13/9,689.01 = 4,187.68/x
  3. Step 3: Cross multiply
    7,020.13x = 9,689.01 × 4,187.68
  4. Step 4: Simplify right side
    7,020.13x = 40,574,424.95
  5. Step 5: Solve for x
    x = 40,574,424.95/7,020.13
  6. Step 6: Final answer
    x = 5,779.73

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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.