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Finding the Fourth Proportional to 9,906.57, 14,855.54 and 3,746.25

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Solution

The fourth proportional to 9,906.57, 14,855.54 and 3,746.25 is: 5,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.57 : 14,855.54 = 3,746.25 : x
  2. Step 2: Convert to fraction form
    9,906.57/14,855.54 = 3,746.25/x
  3. Step 3: Cross multiply
    9,906.57x = 14,855.54 × 3,746.25
  4. Step 4: Simplify right side
    9,906.57x = 55,652,547.99
  5. Step 5: Solve for x
    x = 55,652,547.99/9,906.57
  6. Step 6: Final answer
    x = 5,617.74

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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.