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Finding the Fourth Proportional to 9,622.37, 14,435.07 and 4,075.74

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Solution

The fourth proportional to 9,622.37, 14,435.07 and 4,075.74 is: 6,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.37 : 14,435.07 = 4,075.74 : x
  2. Step 2: Convert to fraction form
    9,622.37/14,435.07 = 4,075.74/x
  3. Step 3: Cross multiply
    9,622.37x = 14,435.07 × 4,075.74
  4. Step 4: Simplify right side
    9,622.37x = 58,833,592.20
  5. Step 5: Solve for x
    x = 58,833,592.20/9,622.37
  6. Step 6: Final answer
    x = 6,114.25

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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.