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Finding the Fourth Proportional to 6,386.85, 9,577.07 and 4,051.55

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Solution

The fourth proportional to 6,386.85, 9,577.07 and 4,051.55 is: 6,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.85 : 9,577.07 = 4,051.55 : x
  2. Step 2: Convert to fraction form
    6,386.85/9,577.07 = 4,051.55/x
  3. Step 3: Cross multiply
    6,386.85x = 9,577.07 × 4,051.55
  4. Step 4: Simplify right side
    6,386.85x = 38,801,940.20
  5. Step 5: Solve for x
    x = 38,801,940.20/6,386.85
  6. Step 6: Final answer
    x = 6,075.29

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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.