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Finding the Fourth Proportional to 9,556.86, 13,186.83 and 5,307.24

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Solution

The fourth proportional to 9,556.86, 13,186.83 and 5,307.24 is: 7,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.86 : 13,186.83 = 5,307.24 : x
  2. Step 2: Convert to fraction form
    9,556.86/13,186.83 = 5,307.24/x
  3. Step 3: Cross multiply
    9,556.86x = 13,186.83 × 5,307.24
  4. Step 4: Simplify right side
    9,556.86x = 69,985,671.65
  5. Step 5: Solve for x
    x = 69,985,671.65/9,556.86
  6. Step 6: Final answer
    x = 7,323.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.