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Finding the Fourth Proportional to 9,848.70, 14,774.40 and 3,274.20

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Solution

The fourth proportional to 9,848.70, 14,774.40 and 3,274.20 is: 4,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.70 : 14,774.40 = 3,274.20 : x
  2. Step 2: Convert to fraction form
    9,848.70/14,774.40 = 3,274.20/x
  3. Step 3: Cross multiply
    9,848.70x = 14,774.40 × 3,274.20
  4. Step 4: Simplify right side
    9,848.70x = 48,374,340.48
  5. Step 5: Solve for x
    x = 48,374,340.48/9,848.70
  6. Step 6: Final answer
    x = 4,911.75

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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.