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Finding the Fourth Proportional to 9,435.96, 13,015.89 and 6,075.07

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Solution

The fourth proportional to 9,435.96, 13,015.89 and 6,075.07 is: 8,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.96 : 13,015.89 = 6,075.07 : x
  2. Step 2: Convert to fraction form
    9,435.96/13,015.89 = 6,075.07/x
  3. Step 3: Cross multiply
    9,435.96x = 13,015.89 × 6,075.07
  4. Step 4: Simplify right side
    9,435.96x = 79,072,410.32
  5. Step 5: Solve for x
    x = 79,072,410.32/9,435.96
  6. Step 6: Final answer
    x = 8,379.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.