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Finding the Fourth Proportional to 9,800.09, 14,675.51 and 7,610.35

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Solution

The fourth proportional to 9,800.09, 14,675.51 and 7,610.35 is: 11,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.09 : 14,675.51 = 7,610.35 : x
  2. Step 2: Convert to fraction form
    9,800.09/14,675.51 = 7,610.35/x
  3. Step 3: Cross multiply
    9,800.09x = 14,675.51 × 7,610.35
  4. Step 4: Simplify right side
    9,800.09x = 111,685,749.87
  5. Step 5: Solve for x
    x = 111,685,749.87/9,800.09
  6. Step 6: Final answer
    x = 11,396.40

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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.