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Finding the Fourth Proportional to 9,683.60, 14,509.20 and 4,742.60

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Solution

The fourth proportional to 9,683.60, 14,509.20 and 4,742.60 is: 7,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.60 : 14,509.20 = 4,742.60 : x
  2. Step 2: Convert to fraction form
    9,683.60/14,509.20 = 4,742.60/x
  3. Step 3: Cross multiply
    9,683.60x = 14,509.20 × 4,742.60
  4. Step 4: Simplify right side
    9,683.60x = 68,811,331.92
  5. Step 5: Solve for x
    x = 68,811,331.92/9,683.60
  6. Step 6: Final answer
    x = 7,105.97

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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.