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Finding the Fourth Proportional to 9,876.15, 14,816.07 and 3,302.37

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Solution

The fourth proportional to 9,876.15, 14,816.07 and 3,302.37 is: 4,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.15 : 14,816.07 = 3,302.37 : x
  2. Step 2: Convert to fraction form
    9,876.15/14,816.07 = 3,302.37/x
  3. Step 3: Cross multiply
    9,876.15x = 14,816.07 × 3,302.37
  4. Step 4: Simplify right side
    9,876.15x = 48,928,145.09
  5. Step 5: Solve for x
    x = 48,928,145.09/9,876.15
  6. Step 6: Final answer
    x = 4,954.17

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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.