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Finding the Fourth Proportional to 9,803.58, 14,715.09 and 7,976.22

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Solution

The fourth proportional to 9,803.58, 14,715.09 and 7,976.22 is: 11,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.58 : 14,715.09 = 7,976.22 : x
  2. Step 2: Convert to fraction form
    9,803.58/14,715.09 = 7,976.22/x
  3. Step 3: Cross multiply
    9,803.58x = 14,715.09 × 7,976.22
  4. Step 4: Simplify right side
    9,803.58x = 117,370,795.16
  5. Step 5: Solve for x
    x = 117,370,795.16/9,803.58
  6. Step 6: Final answer
    x = 11,972.24

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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.