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Finding the Fourth Proportional to 9,685.72, 14,525.07 and 4,139.45

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Solution

The fourth proportional to 9,685.72, 14,525.07 and 4,139.45 is: 6,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.72 : 14,525.07 = 4,139.45 : x
  2. Step 2: Convert to fraction form
    9,685.72/14,525.07 = 4,139.45/x
  3. Step 3: Cross multiply
    9,685.72x = 14,525.07 × 4,139.45
  4. Step 4: Simplify right side
    9,685.72x = 60,125,801.01
  5. Step 5: Solve for x
    x = 60,125,801.01/9,685.72
  6. Step 6: Final answer
    x = 6,207.67

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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.