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Finding the Fourth Proportional to 9,237, 13,859.55 and 4,853.43

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Solution

The fourth proportional to 9,237, 13,859.55 and 4,853.43 is: 7,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237 : 13,859.55 = 4,853.43 : x
  2. Step 2: Convert to fraction form
    9,237/13,859.55 = 4,853.43/x
  3. Step 3: Cross multiply
    9,237x = 13,859.55 × 4,853.43
  4. Step 4: Simplify right side
    9,237x = 67,266,355.76
  5. Step 5: Solve for x
    x = 67,266,355.76/9,237
  6. Step 6: Final answer
    x = 7,282.27

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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.