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Finding the Fourth Proportional to 9,364.66, 12,922.66 and 5,114.86

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Solution

The fourth proportional to 9,364.66, 12,922.66 and 5,114.86 is: 7,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.66 : 12,922.66 = 5,114.86 : x
  2. Step 2: Convert to fraction form
    9,364.66/12,922.66 = 5,114.86/x
  3. Step 3: Cross multiply
    9,364.66x = 12,922.66 × 5,114.86
  4. Step 4: Simplify right side
    9,364.66x = 66,097,619.27
  5. Step 5: Solve for x
    x = 66,097,619.27/9,364.66
  6. Step 6: Final answer
    x = 7,058.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.