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Finding the Fourth Proportional to 9,272.64, 13,904.40 and 5,323.28

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Solution

The fourth proportional to 9,272.64, 13,904.40 and 5,323.28 is: 7,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.64 : 13,904.40 = 5,323.28 : x
  2. Step 2: Convert to fraction form
    9,272.64/13,904.40 = 5,323.28/x
  3. Step 3: Cross multiply
    9,272.64x = 13,904.40 × 5,323.28
  4. Step 4: Simplify right side
    9,272.64x = 74,017,014.43
  5. Step 5: Solve for x
    x = 74,017,014.43/9,272.64
  6. Step 6: Final answer
    x = 7,982.30

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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.