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Finding the Fourth Proportional to 9,355.76, 14,035.08 and 2,781.08

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Solution

The fourth proportional to 9,355.76, 14,035.08 and 2,781.08 is: 4,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.76 : 14,035.08 = 2,781.08 : x
  2. Step 2: Convert to fraction form
    9,355.76/14,035.08 = 2,781.08/x
  3. Step 3: Cross multiply
    9,355.76x = 14,035.08 × 2,781.08
  4. Step 4: Simplify right side
    9,355.76x = 39,032,680.29
  5. Step 5: Solve for x
    x = 39,032,680.29/9,355.76
  6. Step 6: Final answer
    x = 4,172.05

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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.