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Finding the Fourth Proportional to 9,847.40, 14,774.10 and 5,903.06

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Solution

The fourth proportional to 9,847.40, 14,774.10 and 5,903.06 is: 8,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.40 : 14,774.10 = 5,903.06 : x
  2. Step 2: Convert to fraction form
    9,847.40/14,774.10 = 5,903.06/x
  3. Step 3: Cross multiply
    9,847.40x = 14,774.10 × 5,903.06
  4. Step 4: Simplify right side
    9,847.40x = 87,212,398.75
  5. Step 5: Solve for x
    x = 87,212,398.75/9,847.40
  6. Step 6: Final answer
    x = 8,856.39

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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.