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Finding the Fourth Proportional to 9,698.64, 13,383.72 and 5,507.28

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Solution

The fourth proportional to 9,698.64, 13,383.72 and 5,507.28 is: 7,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.64 : 13,383.72 = 5,507.28 : x
  2. Step 2: Convert to fraction form
    9,698.64/13,383.72 = 5,507.28/x
  3. Step 3: Cross multiply
    9,698.64x = 13,383.72 × 5,507.28
  4. Step 4: Simplify right side
    9,698.64x = 73,707,893.48
  5. Step 5: Solve for x
    x = 73,707,893.48/9,698.64
  6. Step 6: Final answer
    x = 7,599.82

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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.