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Finding the Fourth Proportional to 9,738.95, 14,599.66 and 3,497.50

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Solution

The fourth proportional to 9,738.95, 14,599.66 and 3,497.50 is: 5,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.95 : 14,599.66 = 3,497.50 : x
  2. Step 2: Convert to fraction form
    9,738.95/14,599.66 = 3,497.50/x
  3. Step 3: Cross multiply
    9,738.95x = 14,599.66 × 3,497.50
  4. Step 4: Simplify right side
    9,738.95x = 51,062,244.79
  5. Step 5: Solve for x
    x = 51,062,244.79/9,738.95
  6. Step 6: Final answer
    x = 5,243.10

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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.