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Finding the Fourth Proportional to 9,735.14, 14,600.02 and 4,187.30

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Solution

The fourth proportional to 9,735.14, 14,600.02 and 4,187.30 is: 6,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.14 : 14,600.02 = 4,187.30 : x
  2. Step 2: Convert to fraction form
    9,735.14/14,600.02 = 4,187.30/x
  3. Step 3: Cross multiply
    9,735.14x = 14,600.02 × 4,187.30
  4. Step 4: Simplify right side
    9,735.14x = 61,134,663.75
  5. Step 5: Solve for x
    x = 61,134,663.75/9,735.14
  6. Step 6: Final answer
    x = 6,279.79

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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.