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Finding the Fourth Proportional to 9,635.99, 14,446.95 and 6,508.23

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Solution

The fourth proportional to 9,635.99, 14,446.95 and 6,508.23 is: 9,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.99 : 14,446.95 = 6,508.23 : x
  2. Step 2: Convert to fraction form
    9,635.99/14,446.95 = 6,508.23/x
  3. Step 3: Cross multiply
    9,635.99x = 14,446.95 × 6,508.23
  4. Step 4: Simplify right side
    9,635.99x = 94,024,073.40
  5. Step 5: Solve for x
    x = 94,024,073.40/9,635.99
  6. Step 6: Final answer
    x = 9,757.60

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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.