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Finding the Fourth Proportional to 9,433.35, 13,019.00 and 6,446.88

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Solution

The fourth proportional to 9,433.35, 13,019.00 and 6,446.88 is: 8,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.35 : 13,019.00 = 6,446.88 : x
  2. Step 2: Convert to fraction form
    9,433.35/13,019.00 = 6,446.88/x
  3. Step 3: Cross multiply
    9,433.35x = 13,019.00 × 6,446.88
  4. Step 4: Simplify right side
    9,433.35x = 83,931,898.49
  5. Step 5: Solve for x
    x = 83,931,898.49/9,433.35
  6. Step 6: Final answer
    x = 8,897.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.