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Finding the Fourth Proportional to 9,597.36, 14,396.82 and 2,935.32

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Solution

The fourth proportional to 9,597.36, 14,396.82 and 2,935.32 is: 4,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.36 : 14,396.82 = 2,935.32 : x
  2. Step 2: Convert to fraction form
    9,597.36/14,396.82 = 2,935.32/x
  3. Step 3: Cross multiply
    9,597.36x = 14,396.82 × 2,935.32
  4. Step 4: Simplify right side
    9,597.36x = 42,259,273.68
  5. Step 5: Solve for x
    x = 42,259,273.68/9,597.36
  6. Step 6: Final answer
    x = 4,403.22

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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.