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Finding the Fourth Proportional to 6,036.90, 9,056.64 and 3,075.77

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Solution

The fourth proportional to 6,036.90, 9,056.64 and 3,075.77 is: 4,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.90 : 9,056.64 = 3,075.77 : x
  2. Step 2: Convert to fraction form
    6,036.90/9,056.64 = 3,075.77/x
  3. Step 3: Cross multiply
    6,036.90x = 9,056.64 × 3,075.77
  4. Step 4: Simplify right side
    6,036.90x = 27,856,175.79
  5. Step 5: Solve for x
    x = 27,856,175.79/6,036.90
  6. Step 6: Final answer
    x = 4,614.32

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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.