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Finding the Fourth Proportional to 9,738.56, 14,608.14 and 3,075.12

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Solution

The fourth proportional to 9,738.56, 14,608.14 and 3,075.12 is: 4,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.56 : 14,608.14 = 3,075.12 : x
  2. Step 2: Convert to fraction form
    9,738.56/14,608.14 = 3,075.12/x
  3. Step 3: Cross multiply
    9,738.56x = 14,608.14 × 3,075.12
  4. Step 4: Simplify right side
    9,738.56x = 44,921,783.48
  5. Step 5: Solve for x
    x = 44,921,783.48/9,738.56
  6. Step 6: Final answer
    x = 4,612.77

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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.