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Finding the Fourth Proportional to 9,866.83, 14,803 and 5,487.37

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Solution

The fourth proportional to 9,866.83, 14,803 and 5,487.37 is: 8,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.83 : 14,803 = 5,487.37 : x
  2. Step 2: Convert to fraction form
    9,866.83/14,803 = 5,487.37/x
  3. Step 3: Cross multiply
    9,866.83x = 14,803 × 5,487.37
  4. Step 4: Simplify right side
    9,866.83x = 81,229,538.11
  5. Step 5: Solve for x
    x = 81,229,538.11/9,866.83
  6. Step 6: Final answer
    x = 8,232.59

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Why These Related Problems?

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