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Finding the Fourth Proportional to 6,935.34, 9,564.53 and 4,579.86

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Solution

The fourth proportional to 6,935.34, 9,564.53 and 4,579.86 is: 6,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.34 : 9,564.53 = 4,579.86 : x
  2. Step 2: Convert to fraction form
    6,935.34/9,564.53 = 4,579.86/x
  3. Step 3: Cross multiply
    6,935.34x = 9,564.53 × 4,579.86
  4. Step 4: Simplify right side
    6,935.34x = 43,804,208.37
  5. Step 5: Solve for x
    x = 43,804,208.37/6,935.34
  6. Step 6: Final answer
    x = 6,316.09

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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.