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Finding the Fourth Proportional to 6,557.94, 9,059.13 and 4,567.50

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Solution

The fourth proportional to 6,557.94, 9,059.13 and 4,567.50 is: 6,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.94 : 9,059.13 = 4,567.50 : x
  2. Step 2: Convert to fraction form
    6,557.94/9,059.13 = 4,567.50/x
  3. Step 3: Cross multiply
    6,557.94x = 9,059.13 × 4,567.50
  4. Step 4: Simplify right side
    6,557.94x = 41,377,576.28
  5. Step 5: Solve for x
    x = 41,377,576.28/6,557.94
  6. Step 6: Final answer
    x = 6,309.54

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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.