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Finding the Fourth Proportional to 6,858.91, 9,459.66 and 4,204.45

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Solution

The fourth proportional to 6,858.91, 9,459.66 and 4,204.45 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.91 : 9,459.66 = 4,204.45 : x
  2. Step 2: Convert to fraction form
    6,858.91/9,459.66 = 4,204.45/x
  3. Step 3: Cross multiply
    6,858.91x = 9,459.66 × 4,204.45
  4. Step 4: Simplify right side
    6,858.91x = 39,772,667.49
  5. Step 5: Solve for x
    x = 39,772,667.49/6,858.91
  6. Step 6: Final answer
    x = 5,798.69

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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.