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Finding the Fourth Proportional to 9,446.97, 13,005.18 and 7,085.01

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Solution

The fourth proportional to 9,446.97, 13,005.18 and 7,085.01 is: 9,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.97 : 13,005.18 = 7,085.01 : x
  2. Step 2: Convert to fraction form
    9,446.97/13,005.18 = 7,085.01/x
  3. Step 3: Cross multiply
    9,446.97x = 13,005.18 × 7,085.01
  4. Step 4: Simplify right side
    9,446.97x = 92,141,830.35
  5. Step 5: Solve for x
    x = 92,141,830.35/9,446.97
  6. Step 6: Final answer
    x = 9,753.59

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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.