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Finding the Fourth Proportional to 9,844.86, 13,586 and 5,866.12

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Solution

The fourth proportional to 9,844.86, 13,586 and 5,866.12 is: 8,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.86 : 13,586 = 5,866.12 : x
  2. Step 2: Convert to fraction form
    9,844.86/13,586 = 5,866.12/x
  3. Step 3: Cross multiply
    9,844.86x = 13,586 × 5,866.12
  4. Step 4: Simplify right side
    9,844.86x = 79,697,106.32
  5. Step 5: Solve for x
    x = 79,697,106.32/9,844.86
  6. Step 6: Final answer
    x = 8,095.30

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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.