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Finding the Fourth Proportional to 9,397.44, 14,094 and 3,156.48

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Solution

The fourth proportional to 9,397.44, 14,094 and 3,156.48 is: 4,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.44 : 14,094 = 3,156.48 : x
  2. Step 2: Convert to fraction form
    9,397.44/14,094 = 3,156.48/x
  3. Step 3: Cross multiply
    9,397.44x = 14,094 × 3,156.48
  4. Step 4: Simplify right side
    9,397.44x = 44,487,429.12
  5. Step 5: Solve for x
    x = 44,487,429.12/9,397.44
  6. Step 6: Final answer
    x = 4,733.99

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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.