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Finding the Fourth Proportional to 9,260.16, 13,892.32 and 3,104

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Solution

The fourth proportional to 9,260.16, 13,892.32 and 3,104 is: 4,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.16 : 13,892.32 = 3,104 : x
  2. Step 2: Convert to fraction form
    9,260.16/13,892.32 = 3,104/x
  3. Step 3: Cross multiply
    9,260.16x = 13,892.32 × 3,104
  4. Step 4: Simplify right side
    9,260.16x = 43,121,761.28
  5. Step 5: Solve for x
    x = 43,121,761.28/9,260.16
  6. Step 6: Final answer
    x = 4,656.70

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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.