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Finding the Fourth Proportional to 9,735.72, 14,592.63 and 4,188.03

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Solution

The fourth proportional to 9,735.72, 14,592.63 and 4,188.03 is: 6,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.72 : 14,592.63 = 4,188.03 : x
  2. Step 2: Convert to fraction form
    9,735.72/14,592.63 = 4,188.03/x
  3. Step 3: Cross multiply
    9,735.72x = 14,592.63 × 4,188.03
  4. Step 4: Simplify right side
    9,735.72x = 61,114,372.22
  5. Step 5: Solve for x
    x = 61,114,372.22/9,735.72
  6. Step 6: Final answer
    x = 6,277.33

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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.