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Finding the Fourth Proportional to 9,323.98, 12,867.14 and 5,075.08

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Solution

The fourth proportional to 9,323.98, 12,867.14 and 5,075.08 is: 7,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.98 : 12,867.14 = 5,075.08 : x
  2. Step 2: Convert to fraction form
    9,323.98/12,867.14 = 5,075.08/x
  3. Step 3: Cross multiply
    9,323.98x = 12,867.14 × 5,075.08
  4. Step 4: Simplify right side
    9,323.98x = 65,301,764.87
  5. Step 5: Solve for x
    x = 65,301,764.87/9,323.98
  6. Step 6: Final answer
    x = 7,003.64

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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.