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Finding the Fourth Proportional to 9,698.84, 13,384.59 and 7,576.84

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Solution

The fourth proportional to 9,698.84, 13,384.59 and 7,576.84 is: 10,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.84 : 13,384.59 = 7,576.84 : x
  2. Step 2: Convert to fraction form
    9,698.84/13,384.59 = 7,576.84/x
  3. Step 3: Cross multiply
    9,698.84x = 13,384.59 × 7,576.84
  4. Step 4: Simplify right side
    9,698.84x = 101,412,927.83
  5. Step 5: Solve for x
    x = 101,412,927.83/9,698.84
  6. Step 6: Final answer
    x = 10,456.19

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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.