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Finding the Fourth Proportional to 6,073.02, 8,378.64 and 4,657.14

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Solution

The fourth proportional to 6,073.02, 8,378.64 and 4,657.14 is: 6,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.02 : 8,378.64 = 4,657.14 : x
  2. Step 2: Convert to fraction form
    6,073.02/8,378.64 = 4,657.14/x
  3. Step 3: Cross multiply
    6,073.02x = 8,378.64 × 4,657.14
  4. Step 4: Simplify right side
    6,073.02x = 39,020,499.49
  5. Step 5: Solve for x
    x = 39,020,499.49/6,073.02
  6. Step 6: Final answer
    x = 6,425.22

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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.