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Finding the Fourth Proportional to 9,683.83, 14,525.02 and 5,510.74

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Solution

The fourth proportional to 9,683.83, 14,525.02 and 5,510.74 is: 8,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.83 : 14,525.02 = 5,510.74 : x
  2. Step 2: Convert to fraction form
    9,683.83/14,525.02 = 5,510.74/x
  3. Step 3: Cross multiply
    9,683.83x = 14,525.02 × 5,510.74
  4. Step 4: Simplify right side
    9,683.83x = 80,043,608.71
  5. Step 5: Solve for x
    x = 80,043,608.71/9,683.83
  6. Step 6: Final answer
    x = 8,265.70

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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.