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Finding the Fourth Proportional to 9,469.68, 13,075.12 and 6,114.46

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Solution

The fourth proportional to 9,469.68, 13,075.12 and 6,114.46 is: 8,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.68 : 13,075.12 = 6,114.46 : x
  2. Step 2: Convert to fraction form
    9,469.68/13,075.12 = 6,114.46/x
  3. Step 3: Cross multiply
    9,469.68x = 13,075.12 × 6,114.46
  4. Step 4: Simplify right side
    9,469.68x = 79,947,298.24
  5. Step 5: Solve for x
    x = 79,947,298.24/9,469.68
  6. Step 6: Final answer
    x = 8,442.45

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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.