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Finding the Fourth Proportional to 9,483.48, 14,218.47 and 2,906.15

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Solution

The fourth proportional to 9,483.48, 14,218.47 and 2,906.15 is: 4,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.48 : 14,218.47 = 2,906.15 : x
  2. Step 2: Convert to fraction form
    9,483.48/14,218.47 = 2,906.15/x
  3. Step 3: Cross multiply
    9,483.48x = 14,218.47 × 2,906.15
  4. Step 4: Simplify right side
    9,483.48x = 41,320,935.50
  5. Step 5: Solve for x
    x = 41,320,935.50/9,483.48
  6. Step 6: Final answer
    x = 4,357.15

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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.