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Finding the Fourth Proportional to 9,445.02, 14,223.76 and 8,227.14

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Solution

The fourth proportional to 9,445.02, 14,223.76 and 8,227.14 is: 12,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.02 : 14,223.76 = 8,227.14 : x
  2. Step 2: Convert to fraction form
    9,445.02/14,223.76 = 8,227.14/x
  3. Step 3: Cross multiply
    9,445.02x = 14,223.76 × 8,227.14
  4. Step 4: Simplify right side
    9,445.02x = 117,020,864.85
  5. Step 5: Solve for x
    x = 117,020,864.85/9,445.02
  6. Step 6: Final answer
    x = 12,389.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.