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Finding the Fourth Proportional to 6,064.02, 8,356.03 and 4,647.74

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Solution

The fourth proportional to 6,064.02, 8,356.03 and 4,647.74 is: 6,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.02 : 8,356.03 = 4,647.74 : x
  2. Step 2: Convert to fraction form
    6,064.02/8,356.03 = 4,647.74/x
  3. Step 3: Cross multiply
    6,064.02x = 8,356.03 × 4,647.74
  4. Step 4: Simplify right side
    6,064.02x = 38,836,601.47
  5. Step 5: Solve for x
    x = 38,836,601.47/6,064.02
  6. Step 6: Final answer
    x = 6,404.43

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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.