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Finding the Fourth Proportional to 6,562.69, 9,056.51 and 4,208.02

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Solution

The fourth proportional to 6,562.69, 9,056.51 and 4,208.02 is: 5,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.69 : 9,056.51 = 4,208.02 : x
  2. Step 2: Convert to fraction form
    6,562.69/9,056.51 = 4,208.02/x
  3. Step 3: Cross multiply
    6,562.69x = 9,056.51 × 4,208.02
  4. Step 4: Simplify right side
    6,562.69x = 38,109,947.31
  5. Step 5: Solve for x
    x = 38,109,947.31/6,562.69
  6. Step 6: Final answer
    x = 5,807.06

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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.