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Finding the Fourth Proportional to 9,075.72, 12,513.78 and 7,745.16

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Solution

The fourth proportional to 9,075.72, 12,513.78 and 7,745.16 is: 10,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.72 : 12,513.78 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    9,075.72/12,513.78 = 7,745.16/x
  3. Step 3: Cross multiply
    9,075.72x = 12,513.78 × 7,745.16
  4. Step 4: Simplify right side
    9,075.72x = 96,921,228.30
  5. Step 5: Solve for x
    x = 96,921,228.30/9,075.72
  6. Step 6: Final answer
    x = 10,679.18

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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.