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Finding the Fourth Proportional to 6,357.94, 9,528.63 and 3,064.30

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Solution

The fourth proportional to 6,357.94, 9,528.63 and 3,064.30 is: 4,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.94 : 9,528.63 = 3,064.30 : x
  2. Step 2: Convert to fraction form
    6,357.94/9,528.63 = 3,064.30/x
  3. Step 3: Cross multiply
    6,357.94x = 9,528.63 × 3,064.30
  4. Step 4: Simplify right side
    6,357.94x = 29,198,580.91
  5. Step 5: Solve for x
    x = 29,198,580.91/6,357.94
  6. Step 6: Final answer
    x = 4,592.46

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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.