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Finding the Fourth Proportional to 9,884.03, 14,823.72 and 3,640.66

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Solution

The fourth proportional to 9,884.03, 14,823.72 and 3,640.66 is: 5,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.03 : 14,823.72 = 3,640.66 : x
  2. Step 2: Convert to fraction form
    9,884.03/14,823.72 = 3,640.66/x
  3. Step 3: Cross multiply
    9,884.03x = 14,823.72 × 3,640.66
  4. Step 4: Simplify right side
    9,884.03x = 53,968,063.81
  5. Step 5: Solve for x
    x = 53,968,063.81/9,884.03
  6. Step 6: Final answer
    x = 5,460.13

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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.