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Finding the Fourth Proportional to 6,562.44, 9,056.95 and 4,143.32

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Solution

The fourth proportional to 6,562.44, 9,056.95 and 4,143.32 is: 5,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.44 : 9,056.95 = 4,143.32 : x
  2. Step 2: Convert to fraction form
    6,562.44/9,056.95 = 4,143.32/x
  3. Step 3: Cross multiply
    6,562.44x = 9,056.95 × 4,143.32
  4. Step 4: Simplify right side
    6,562.44x = 37,525,820.39
  5. Step 5: Solve for x
    x = 37,525,820.39/6,562.44
  6. Step 6: Final answer
    x = 5,718.27

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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.