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Finding the Fourth Proportional to 9,698.22, 13,388.61 and 6,528.18

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Solution

The fourth proportional to 9,698.22, 13,388.61 and 6,528.18 is: 9,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.22 : 13,388.61 = 6,528.18 : x
  2. Step 2: Convert to fraction form
    9,698.22/13,388.61 = 6,528.18/x
  3. Step 3: Cross multiply
    9,698.22x = 13,388.61 × 6,528.18
  4. Step 4: Simplify right side
    9,698.22x = 87,403,256.03
  5. Step 5: Solve for x
    x = 87,403,256.03/9,698.22
  6. Step 6: Final answer
    x = 9,012.30

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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.