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Finding the Fourth Proportional to 9,607.94, 13,258.95 and 5,191.94

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Solution

The fourth proportional to 9,607.94, 13,258.95 and 5,191.94 is: 7,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.94 : 13,258.95 = 5,191.94 : x
  2. Step 2: Convert to fraction form
    9,607.94/13,258.95 = 5,191.94/x
  3. Step 3: Cross multiply
    9,607.94x = 13,258.95 × 5,191.94
  4. Step 4: Simplify right side
    9,607.94x = 68,839,672.86
  5. Step 5: Solve for x
    x = 68,839,672.86/9,607.94
  6. Step 6: Final answer
    x = 7,164.87

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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.