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Finding the Fourth Proportional to 6,768.02, 9,342.45 and 4,410.74

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Solution

The fourth proportional to 6,768.02, 9,342.45 and 4,410.74 is: 6,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.02 : 9,342.45 = 4,410.74 : x
  2. Step 2: Convert to fraction form
    6,768.02/9,342.45 = 4,410.74/x
  3. Step 3: Cross multiply
    6,768.02x = 9,342.45 × 4,410.74
  4. Step 4: Simplify right side
    6,768.02x = 41,207,117.91
  5. Step 5: Solve for x
    x = 41,207,117.91/6,768.02
  6. Step 6: Final answer
    x = 6,088.50

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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.