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Finding the Fourth Proportional to 6,817.95, 9,407.05 and 5,226.19

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Solution

The fourth proportional to 6,817.95, 9,407.05 and 5,226.19 is: 7,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.95 : 9,407.05 = 5,226.19 : x
  2. Step 2: Convert to fraction form
    6,817.95/9,407.05 = 5,226.19/x
  3. Step 3: Cross multiply
    6,817.95x = 9,407.05 × 5,226.19
  4. Step 4: Simplify right side
    6,817.95x = 49,162,994.06
  5. Step 5: Solve for x
    x = 49,162,994.06/6,817.95
  6. Step 6: Final answer
    x = 7,210.82

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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.