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Finding the Fourth Proportional to 9,683.90, 14,529.73 and 4,421.40

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Solution

The fourth proportional to 9,683.90, 14,529.73 and 4,421.40 is: 6,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.90 : 14,529.73 = 4,421.40 : x
  2. Step 2: Convert to fraction form
    9,683.90/14,529.73 = 4,421.40/x
  3. Step 3: Cross multiply
    9,683.90x = 14,529.73 × 4,421.40
  4. Step 4: Simplify right side
    9,683.90x = 64,241,711.40
  5. Step 5: Solve for x
    x = 64,241,711.40/9,683.90
  6. Step 6: Final answer
    x = 6,633.86

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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.