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Finding the Fourth Proportional to 9,704.51, 13,384.74 and 8,362.34

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Solution

The fourth proportional to 9,704.51, 13,384.74 and 8,362.34 is: 11,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.51 : 13,384.74 = 8,362.34 : x
  2. Step 2: Convert to fraction form
    9,704.51/13,384.74 = 8,362.34/x
  3. Step 3: Cross multiply
    9,704.51x = 13,384.74 × 8,362.34
  4. Step 4: Simplify right side
    9,704.51x = 111,927,761.32
  5. Step 5: Solve for x
    x = 111,927,761.32/9,704.51
  6. Step 6: Final answer
    x = 11,533.58

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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.