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Finding the Fourth Proportional to 9,254.91, 13,881 and 3,410.16

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Solution

The fourth proportional to 9,254.91, 13,881 and 3,410.16 is: 5,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.91 : 13,881 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    9,254.91/13,881 = 3,410.16/x
  3. Step 3: Cross multiply
    9,254.91x = 13,881 × 3,410.16
  4. Step 4: Simplify right side
    9,254.91x = 47,336,430.96
  5. Step 5: Solve for x
    x = 47,336,430.96/9,254.91
  6. Step 6: Final answer
    x = 5,114.74

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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.