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Finding the Fourth Proportional to 9,707.08, 14,523.70 and 6,000.11

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Solution

The fourth proportional to 9,707.08, 14,523.70 and 6,000.11 is: 8,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.08 : 14,523.70 = 6,000.11 : x
  2. Step 2: Convert to fraction form
    9,707.08/14,523.70 = 6,000.11/x
  3. Step 3: Cross multiply
    9,707.08x = 14,523.70 × 6,000.11
  4. Step 4: Simplify right side
    9,707.08x = 87,143,797.61
  5. Step 5: Solve for x
    x = 87,143,797.61/9,707.08
  6. Step 6: Final answer
    x = 8,977.34

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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.