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Finding the Fourth Proportional to 9,265.28, 13,898.02 and 3,643.52

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Solution

The fourth proportional to 9,265.28, 13,898.02 and 3,643.52 is: 5,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.28 : 13,898.02 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    9,265.28/13,898.02 = 3,643.52/x
  3. Step 3: Cross multiply
    9,265.28x = 13,898.02 × 3,643.52
  4. Step 4: Simplify right side
    9,265.28x = 50,637,713.83
  5. Step 5: Solve for x
    x = 50,637,713.83/9,265.28
  6. Step 6: Final answer
    x = 5,465.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.