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Finding the Fourth Proportional to 9,802.26, 13,523.54 and 6,446.88

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Solution

The fourth proportional to 9,802.26, 13,523.54 and 6,446.88 is: 8,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.26 : 13,523.54 = 6,446.88 : x
  2. Step 2: Convert to fraction form
    9,802.26/13,523.54 = 6,446.88/x
  3. Step 3: Cross multiply
    9,802.26x = 13,523.54 × 6,446.88
  4. Step 4: Simplify right side
    9,802.26x = 87,184,639.56
  5. Step 5: Solve for x
    x = 87,184,639.56/9,802.26
  6. Step 6: Final answer
    x = 8,894.34

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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.