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Finding the Fourth Proportional to 7,056.57, 9,750.17 and 6,804

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Solution

The fourth proportional to 7,056.57, 9,750.17 and 6,804 is: 9,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.57 : 9,750.17 = 6,804 : x
  2. Step 2: Convert to fraction form
    7,056.57/9,750.17 = 6,804/x
  3. Step 3: Cross multiply
    7,056.57x = 9,750.17 × 6,804
  4. Step 4: Simplify right side
    7,056.57x = 66,340,173.69
  5. Step 5: Solve for x
    x = 66,340,173.69/7,056.57
  6. Step 6: Final answer
    x = 9,401.19

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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.