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Finding the Fourth Proportional to 9,672.95, 13,261.74 and 9,497.99

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Solution

The fourth proportional to 9,672.95, 13,261.74 and 9,497.99 is: 13,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.95 : 13,261.74 = 9,497.99 : x
  2. Step 2: Convert to fraction form
    9,672.95/13,261.74 = 9,497.99/x
  3. Step 3: Cross multiply
    9,672.95x = 13,261.74 × 9,497.99
  4. Step 4: Simplify right side
    9,672.95x = 125,959,873.90
  5. Step 5: Solve for x
    x = 125,959,873.90/9,672.95
  6. Step 6: Final answer
    x = 13,021.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.