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Finding the Fourth Proportional to 9,804.24, 13,529.16 and 5,556.06

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Solution

The fourth proportional to 9,804.24, 13,529.16 and 5,556.06 is: 7,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.24 : 13,529.16 = 5,556.06 : x
  2. Step 2: Convert to fraction form
    9,804.24/13,529.16 = 5,556.06/x
  3. Step 3: Cross multiply
    9,804.24x = 13,529.16 × 5,556.06
  4. Step 4: Simplify right side
    9,804.24x = 75,168,824.71
  5. Step 5: Solve for x
    x = 75,168,824.71/9,804.24
  6. Step 6: Final answer
    x = 7,666.97

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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.