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Finding the Fourth Proportional to 9,460.34, 13,043.70 and 5,917.40

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Solution

The fourth proportional to 9,460.34, 13,043.70 and 5,917.40 is: 8,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.34 : 13,043.70 = 5,917.40 : x
  2. Step 2: Convert to fraction form
    9,460.34/13,043.70 = 5,917.40/x
  3. Step 3: Cross multiply
    9,460.34x = 13,043.70 × 5,917.40
  4. Step 4: Simplify right side
    9,460.34x = 77,184,790.38
  5. Step 5: Solve for x
    x = 77,184,790.38/9,460.34
  6. Step 6: Final answer
    x = 8,158.78

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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.