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Finding the Fourth Proportional to 9,852.72, 14,774.08 and 3,276.60

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Solution

The fourth proportional to 9,852.72, 14,774.08 and 3,276.60 is: 4,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.72 : 14,774.08 = 3,276.60 : x
  2. Step 2: Convert to fraction form
    9,852.72/14,774.08 = 3,276.60/x
  3. Step 3: Cross multiply
    9,852.72x = 14,774.08 × 3,276.60
  4. Step 4: Simplify right side
    9,852.72x = 48,408,750.53
  5. Step 5: Solve for x
    x = 48,408,750.53/9,852.72
  6. Step 6: Final answer
    x = 4,913.24

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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.