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Finding the Fourth Proportional to 9,801.68, 14,688.56 and 4,866.48

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Solution

The fourth proportional to 9,801.68, 14,688.56 and 4,866.48 is: 7,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.68 : 14,688.56 = 4,866.48 : x
  2. Step 2: Convert to fraction form
    9,801.68/14,688.56 = 4,866.48/x
  3. Step 3: Cross multiply
    9,801.68x = 14,688.56 × 4,866.48
  4. Step 4: Simplify right side
    9,801.68x = 71,481,583.47
  5. Step 5: Solve for x
    x = 71,481,583.47/9,801.68
  6. Step 6: Final answer
    x = 7,292.79

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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.