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Finding the Fourth Proportional to 9,536.34, 14,300.91 and 4,604.34

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Solution

The fourth proportional to 9,536.34, 14,300.91 and 4,604.34 is: 6,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.34 : 14,300.91 = 4,604.34 : x
  2. Step 2: Convert to fraction form
    9,536.34/14,300.91 = 4,604.34/x
  3. Step 3: Cross multiply
    9,536.34x = 14,300.91 × 4,604.34
  4. Step 4: Simplify right side
    9,536.34x = 65,846,251.95
  5. Step 5: Solve for x
    x = 65,846,251.95/9,536.34
  6. Step 6: Final answer
    x = 6,904.77

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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.