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Finding the Fourth Proportional to 6,277.35, 9,424.23 and 5,309.61

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Solution

The fourth proportional to 6,277.35, 9,424.23 and 5,309.61 is: 7,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.35 : 9,424.23 = 5,309.61 : x
  2. Step 2: Convert to fraction form
    6,277.35/9,424.23 = 5,309.61/x
  3. Step 3: Cross multiply
    6,277.35x = 9,424.23 × 5,309.61
  4. Step 4: Simplify right side
    6,277.35x = 50,038,985.85
  5. Step 5: Solve for x
    x = 50,038,985.85/6,277.35
  6. Step 6: Final answer
    x = 7,971.36

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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.