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Finding the Fourth Proportional to 9,442.18, 14,219.47 and 8,224.30

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Solution

The fourth proportional to 9,442.18, 14,219.47 and 8,224.30 is: 12,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.18 : 14,219.47 = 8,224.30 : x
  2. Step 2: Convert to fraction form
    9,442.18/14,219.47 = 8,224.30/x
  3. Step 3: Cross multiply
    9,442.18x = 14,219.47 × 8,224.30
  4. Step 4: Simplify right side
    9,442.18x = 116,945,116.02
  5. Step 5: Solve for x
    x = 116,945,116.02/9,442.18
  6. Step 6: Final answer
    x = 12,385.40

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Why These Related Problems?

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