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Finding the Fourth Proportional to 9,396.40, 14,094.10 and 3,156.54

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Solution

The fourth proportional to 9,396.40, 14,094.10 and 3,156.54 is: 4,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.40 : 14,094.10 = 3,156.54 : x
  2. Step 2: Convert to fraction form
    9,396.40/14,094.10 = 3,156.54/x
  3. Step 3: Cross multiply
    9,396.40x = 14,094.10 × 3,156.54
  4. Step 4: Simplify right side
    9,396.40x = 44,488,590.41
  5. Step 5: Solve for x
    x = 44,488,590.41/9,396.40
  6. Step 6: Final answer
    x = 4,734.64

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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.