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Finding the Fourth Proportional to 10,036.37, 13,851.81 and 6,509.84

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Solution

The fourth proportional to 10,036.37, 13,851.81 and 6,509.84 is: 8,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.37 : 13,851.81 = 6,509.84 : x
  2. Step 2: Convert to fraction form
    10,036.37/13,851.81 = 6,509.84/x
  3. Step 3: Cross multiply
    10,036.37x = 13,851.81 × 6,509.84
  4. Step 4: Simplify right side
    10,036.37x = 90,172,997.55
  5. Step 5: Solve for x
    x = 90,172,997.55/10,036.37
  6. Step 6: Final answer
    x = 8,984.62

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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.