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Finding the Fourth Proportional to 9,886.30, 14,835.29 and 3,650.68

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Solution

The fourth proportional to 9,886.30, 14,835.29 and 3,650.68 is: 5,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.30 : 14,835.29 = 3,650.68 : x
  2. Step 2: Convert to fraction form
    9,886.30/14,835.29 = 3,650.68/x
  3. Step 3: Cross multiply
    9,886.30x = 14,835.29 × 3,650.68
  4. Step 4: Simplify right side
    9,886.30x = 54,158,896.50
  5. Step 5: Solve for x
    x = 54,158,896.50/9,886.30
  6. Step 6: Final answer
    x = 5,478.18

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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.