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Finding the Fourth Proportional to 9,551.52, 14,324.76 and 3,712.32

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Solution

The fourth proportional to 9,551.52, 14,324.76 and 3,712.32 is: 5,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.52 : 14,324.76 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    9,551.52/14,324.76 = 3,712.32/x
  3. Step 3: Cross multiply
    9,551.52x = 14,324.76 × 3,712.32
  4. Step 4: Simplify right side
    9,551.52x = 53,178,093.04
  5. Step 5: Solve for x
    x = 53,178,093.04/9,551.52
  6. Step 6: Final answer
    x = 5,567.50

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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.