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Finding the Fourth Proportional to 9,342.74, 14,011.37 and 3,497.98

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Solution

The fourth proportional to 9,342.74, 14,011.37 and 3,497.98 is: 5,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.74 : 14,011.37 = 3,497.98 : x
  2. Step 2: Convert to fraction form
    9,342.74/14,011.37 = 3,497.98/x
  3. Step 3: Cross multiply
    9,342.74x = 14,011.37 × 3,497.98
  4. Step 4: Simplify right side
    9,342.74x = 49,011,492.03
  5. Step 5: Solve for x
    x = 49,011,492.03/9,342.74
  6. Step 6: Final answer
    x = 5,245.94

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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.