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Finding the Fourth Proportional to 9,564.52, 14,349.66 and 3,409

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Solution

The fourth proportional to 9,564.52, 14,349.66 and 3,409 is: 5,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.52 : 14,349.66 = 3,409 : x
  2. Step 2: Convert to fraction form
    9,564.52/14,349.66 = 3,409/x
  3. Step 3: Cross multiply
    9,564.52x = 14,349.66 × 3,409
  4. Step 4: Simplify right side
    9,564.52x = 48,917,990.94
  5. Step 5: Solve for x
    x = 48,917,990.94/9,564.52
  6. Step 6: Final answer
    x = 5,114.53

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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.