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Finding the Fourth Proportional to 9,364.86, 14,042.64 and 4,981.14

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Solution

The fourth proportional to 9,364.86, 14,042.64 and 4,981.14 is: 7,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.86 : 14,042.64 = 4,981.14 : x
  2. Step 2: Convert to fraction form
    9,364.86/14,042.64 = 4,981.14/x
  3. Step 3: Cross multiply
    9,364.86x = 14,042.64 × 4,981.14
  4. Step 4: Simplify right side
    9,364.86x = 69,948,355.81
  5. Step 5: Solve for x
    x = 69,948,355.81/9,364.86
  6. Step 6: Final answer
    x = 7,469.24

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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.