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Finding the Fourth Proportional to 9,656.28, 13,327.34 and 5,464.53

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Solution

The fourth proportional to 9,656.28, 13,327.34 and 5,464.53 is: 7,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.28 : 13,327.34 = 5,464.53 : x
  2. Step 2: Convert to fraction form
    9,656.28/13,327.34 = 5,464.53/x
  3. Step 3: Cross multiply
    9,656.28x = 13,327.34 × 5,464.53
  4. Step 4: Simplify right side
    9,656.28x = 72,827,621.93
  5. Step 5: Solve for x
    x = 72,827,621.93/9,656.28
  6. Step 6: Final answer
    x = 7,542.00

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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.