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Finding the Fourth Proportional to 9,911.86, 14,862.57 and 5,234.38

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Solution

The fourth proportional to 9,911.86, 14,862.57 and 5,234.38 is: 7,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.86 : 14,862.57 = 5,234.38 : x
  2. Step 2: Convert to fraction form
    9,911.86/14,862.57 = 5,234.38/x
  3. Step 3: Cross multiply
    9,911.86x = 14,862.57 × 5,234.38
  4. Step 4: Simplify right side
    9,911.86x = 77,796,339.16
  5. Step 5: Solve for x
    x = 77,796,339.16/9,911.86
  6. Step 6: Final answer
    x = 7,848.81

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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.