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Finding the Fourth Proportional to 6,235.02, 9,358.00 and 5,261.81

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Solution

The fourth proportional to 6,235.02, 9,358.00 and 5,261.81 is: 7,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.02 : 9,358.00 = 5,261.81 : x
  2. Step 2: Convert to fraction form
    6,235.02/9,358.00 = 5,261.81/x
  3. Step 3: Cross multiply
    6,235.02x = 9,358.00 × 5,261.81
  4. Step 4: Simplify right side
    6,235.02x = 49,239,958.04
  5. Step 5: Solve for x
    x = 49,239,958.04/6,235.02
  6. Step 6: Final answer
    x = 7,897.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.