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Finding the Fourth Proportional to 6,542.42, 9,795.65 and 4,570.02

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Solution

The fourth proportional to 6,542.42, 9,795.65 and 4,570.02 is: 6,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.42 : 9,795.65 = 4,570.02 : x
  2. Step 2: Convert to fraction form
    6,542.42/9,795.65 = 4,570.02/x
  3. Step 3: Cross multiply
    6,542.42x = 9,795.65 × 4,570.02
  4. Step 4: Simplify right side
    6,542.42x = 44,766,293.56
  5. Step 5: Solve for x
    x = 44,766,293.56/6,542.42
  6. Step 6: Final answer
    x = 6,842.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.