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Finding the Fourth Proportional to 9,701.68, 13,388.64 and 5,453.48

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Solution

The fourth proportional to 9,701.68, 13,388.64 and 5,453.48 is: 7,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.68 : 13,388.64 = 5,453.48 : x
  2. Step 2: Convert to fraction form
    9,701.68/13,388.64 = 5,453.48/x
  3. Step 3: Cross multiply
    9,701.68x = 13,388.64 × 5,453.48
  4. Step 4: Simplify right side
    9,701.68x = 73,014,680.47
  5. Step 5: Solve for x
    x = 73,014,680.47/9,701.68
  6. Step 6: Final answer
    x = 7,525.98

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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.