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Finding the Fourth Proportional to 9,275.00, 13,913.14 and 3,728.35

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Solution

The fourth proportional to 9,275.00, 13,913.14 and 3,728.35 is: 5,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.00 : 13,913.14 = 3,728.35 : x
  2. Step 2: Convert to fraction form
    9,275.00/13,913.14 = 3,728.35/x
  3. Step 3: Cross multiply
    9,275.00x = 13,913.14 × 3,728.35
  4. Step 4: Simplify right side
    9,275.00x = 51,872,967.31
  5. Step 5: Solve for x
    x = 51,872,967.31/9,275.00
  6. Step 6: Final answer
    x = 5,592.78

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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.