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Finding the Fourth Proportional to 9,524.73, 14,289.99 and 4,594.53

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Solution

The fourth proportional to 9,524.73, 14,289.99 and 4,594.53 is: 6,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.73 : 14,289.99 = 4,594.53 : x
  2. Step 2: Convert to fraction form
    9,524.73/14,289.99 = 4,594.53/x
  3. Step 3: Cross multiply
    9,524.73x = 14,289.99 × 4,594.53
  4. Step 4: Simplify right side
    9,524.73x = 65,655,787.75
  5. Step 5: Solve for x
    x = 65,655,787.75/9,524.73
  6. Step 6: Final answer
    x = 6,893.19

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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.