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Finding the Fourth Proportional to 9,522.98, 14,278.99 and 5,075.16

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Solution

The fourth proportional to 9,522.98, 14,278.99 and 5,075.16 is: 7,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.98 : 14,278.99 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    9,522.98/14,278.99 = 5,075.16/x
  3. Step 3: Cross multiply
    9,522.98x = 14,278.99 × 5,075.16
  4. Step 4: Simplify right side
    9,522.98x = 72,468,133.51
  5. Step 5: Solve for x
    x = 72,468,133.51/9,522.98
  6. Step 6: Final answer
    x = 7,609.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.