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Finding the Fourth Proportional to 9,537.84, 14,287.08 and 7,075.44

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Solution

The fourth proportional to 9,537.84, 14,287.08 and 7,075.44 is: 10,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.84 : 14,287.08 = 7,075.44 : x
  2. Step 2: Convert to fraction form
    9,537.84/14,287.08 = 7,075.44/x
  3. Step 3: Cross multiply
    9,537.84x = 14,287.08 × 7,075.44
  4. Step 4: Simplify right side
    9,537.84x = 101,087,377.32
  5. Step 5: Solve for x
    x = 101,087,377.32/9,537.84
  6. Step 6: Final answer
    x = 10,598.56

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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.