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Finding the Fourth Proportional to 9,556.06, 13,187.42 and 5,307.06

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Solution

The fourth proportional to 9,556.06, 13,187.42 and 5,307.06 is: 7,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.06 : 13,187.42 = 5,307.06 : x
  2. Step 2: Convert to fraction form
    9,556.06/13,187.42 = 5,307.06/x
  3. Step 3: Cross multiply
    9,556.06x = 13,187.42 × 5,307.06
  4. Step 4: Simplify right side
    9,556.06x = 69,986,429.19
  5. Step 5: Solve for x
    x = 69,986,429.19/9,556.06
  6. Step 6: Final answer
    x = 7,323.77

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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.