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Finding the Fourth Proportional to 9,699.35, 14,556.35 and 7,774.79

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Solution

The fourth proportional to 9,699.35, 14,556.35 and 7,774.79 is: 11,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.35 : 14,556.35 = 7,774.79 : x
  2. Step 2: Convert to fraction form
    9,699.35/14,556.35 = 7,774.79/x
  3. Step 3: Cross multiply
    9,699.35x = 14,556.35 × 7,774.79
  4. Step 4: Simplify right side
    9,699.35x = 113,172,620.24
  5. Step 5: Solve for x
    x = 113,172,620.24/9,699.35
  6. Step 6: Final answer
    x = 11,668.06

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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.