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Finding the Fourth Proportional to 9,343.98, 14,012.55 and 3,102.84

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Solution

The fourth proportional to 9,343.98, 14,012.55 and 3,102.84 is: 4,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.98 : 14,012.55 = 3,102.84 : x
  2. Step 2: Convert to fraction form
    9,343.98/14,012.55 = 3,102.84/x
  3. Step 3: Cross multiply
    9,343.98x = 14,012.55 × 3,102.84
  4. Step 4: Simplify right side
    9,343.98x = 43,478,700.64
  5. Step 5: Solve for x
    x = 43,478,700.64/9,343.98
  6. Step 6: Final answer
    x = 4,653.12

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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.