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Finding the Fourth Proportional to 9,874.70, 14,735.62 and 8,823.28

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Solution

The fourth proportional to 9,874.70, 14,735.62 and 8,823.28 is: 13,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.70 : 14,735.62 = 8,823.28 : x
  2. Step 2: Convert to fraction form
    9,874.70/14,735.62 = 8,823.28/x
  3. Step 3: Cross multiply
    9,874.70x = 14,735.62 × 8,823.28
  4. Step 4: Simplify right side
    9,874.70x = 130,016,501.23
  5. Step 5: Solve for x
    x = 130,016,501.23/9,874.70
  6. Step 6: Final answer
    x = 13,166.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.