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Finding the Fourth Proportional to 9,564.84, 14,350.86 and 3,725.52

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Solution

The fourth proportional to 9,564.84, 14,350.86 and 3,725.52 is: 5,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 14,350.86 = 3,725.52 : x
  2. Step 2: Convert to fraction form
    9,564.84/14,350.86 = 3,725.52/x
  3. Step 3: Cross multiply
    9,564.84x = 14,350.86 × 3,725.52
  4. Step 4: Simplify right side
    9,564.84x = 53,464,415.95
  5. Step 5: Solve for x
    x = 53,464,415.95/9,564.84
  6. Step 6: Final answer
    x = 5,589.68

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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.