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Finding the Fourth Proportional to 6,562.83, 9,056.74 and 4,206.34

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Solution

The fourth proportional to 6,562.83, 9,056.74 and 4,206.34 is: 5,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.83 : 9,056.74 = 4,206.34 : x
  2. Step 2: Convert to fraction form
    6,562.83/9,056.74 = 4,206.34/x
  3. Step 3: Cross multiply
    6,562.83x = 9,056.74 × 4,206.34
  4. Step 4: Simplify right side
    6,562.83x = 38,095,694.57
  5. Step 5: Solve for x
    x = 38,095,694.57/6,562.83
  6. Step 6: Final answer
    x = 5,804.77

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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.