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Finding the Fourth Proportional to 6,047.96, 9,075.84 and 2,152.40

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Solution

The fourth proportional to 6,047.96, 9,075.84 and 2,152.40 is: 3,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.96 : 9,075.84 = 2,152.40 : x
  2. Step 2: Convert to fraction form
    6,047.96/9,075.84 = 2,152.40/x
  3. Step 3: Cross multiply
    6,047.96x = 9,075.84 × 2,152.40
  4. Step 4: Simplify right side
    6,047.96x = 19,534,838.02
  5. Step 5: Solve for x
    x = 19,534,838.02/6,047.96
  6. Step 6: Final answer
    x = 3,229.99

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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.