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Finding the Fourth Proportional to 9,188.52, 13,782.76 and 3,032.52

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Solution

The fourth proportional to 9,188.52, 13,782.76 and 3,032.52 is: 4,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.52 : 13,782.76 = 3,032.52 : x
  2. Step 2: Convert to fraction form
    9,188.52/13,782.76 = 3,032.52/x
  3. Step 3: Cross multiply
    9,188.52x = 13,782.76 × 3,032.52
  4. Step 4: Simplify right side
    9,188.52x = 41,796,495.36
  5. Step 5: Solve for x
    x = 41,796,495.36/9,188.52
  6. Step 6: Final answer
    x = 4,548.77

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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.