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Finding the Fourth Proportional to 6,075.40, 9,113.10 and 5,200.60

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Solution

The fourth proportional to 6,075.40, 9,113.10 and 5,200.60 is: 7,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.40 : 9,113.10 = 5,200.60 : x
  2. Step 2: Convert to fraction form
    6,075.40/9,113.10 = 5,200.60/x
  3. Step 3: Cross multiply
    6,075.40x = 9,113.10 × 5,200.60
  4. Step 4: Simplify right side
    6,075.40x = 47,393,587.86
  5. Step 5: Solve for x
    x = 47,393,587.86/6,075.40
  6. Step 6: Final answer
    x = 7,800.90

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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.