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Finding the Fourth Proportional to 9,525.90, 14,294.49 and 4,600.62

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Solution

The fourth proportional to 9,525.90, 14,294.49 and 4,600.62 is: 6,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.90 : 14,294.49 = 4,600.62 : x
  2. Step 2: Convert to fraction form
    9,525.90/14,294.49 = 4,600.62/x
  3. Step 3: Cross multiply
    9,525.90x = 14,294.49 × 4,600.62
  4. Step 4: Simplify right side
    9,525.90x = 65,763,516.58
  5. Step 5: Solve for x
    x = 65,763,516.58/9,525.90
  6. Step 6: Final answer
    x = 6,903.65

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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.