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Finding the Fourth Proportional to 9,693.96, 14,529.21 and 4,421.75

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Solution

The fourth proportional to 9,693.96, 14,529.21 and 4,421.75 is: 6,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.96 : 14,529.21 = 4,421.75 : x
  2. Step 2: Convert to fraction form
    9,693.96/14,529.21 = 4,421.75/x
  3. Step 3: Cross multiply
    9,693.96x = 14,529.21 × 4,421.75
  4. Step 4: Simplify right side
    9,693.96x = 64,244,570.64
  5. Step 5: Solve for x
    x = 64,244,570.64/9,693.96
  6. Step 6: Final answer
    x = 6,627.28

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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.