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Finding the Fourth Proportional to 9,075.16, 12,517.50 and 7,583.14

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Solution

The fourth proportional to 9,075.16, 12,517.50 and 7,583.14 is: 10,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.16 : 12,517.50 = 7,583.14 : x
  2. Step 2: Convert to fraction form
    9,075.16/12,517.50 = 7,583.14/x
  3. Step 3: Cross multiply
    9,075.16x = 12,517.50 × 7,583.14
  4. Step 4: Simplify right side
    9,075.16x = 94,921,954.95
  5. Step 5: Solve for x
    x = 94,921,954.95/9,075.16
  6. Step 6: Final answer
    x = 10,459.54

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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.