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Finding the Fourth Proportional to 9,324.09, 12,866.83 and 5,075.16

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Solution

The fourth proportional to 9,324.09, 12,866.83 and 5,075.16 is: 7,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.09 : 12,866.83 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    9,324.09/12,866.83 = 5,075.16/x
  3. Step 3: Cross multiply
    9,324.09x = 12,866.83 × 5,075.16
  4. Step 4: Simplify right side
    9,324.09x = 65,301,188.55
  5. Step 5: Solve for x
    x = 65,301,188.55/9,324.09
  6. Step 6: Final answer
    x = 7,003.49

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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.