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Finding the Fourth Proportional to 8,846.40, 12,225.60 and 7,075.20

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Solution

The fourth proportional to 8,846.40, 12,225.60 and 7,075.20 is: 9,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.40 : 12,225.60 = 7,075.20 : x
  2. Step 2: Convert to fraction form
    8,846.40/12,225.60 = 7,075.20/x
  3. Step 3: Cross multiply
    8,846.40x = 12,225.60 × 7,075.20
  4. Step 4: Simplify right side
    8,846.40x = 86,498,565.12
  5. Step 5: Solve for x
    x = 86,498,565.12/8,846.40
  6. Step 6: Final answer
    x = 9,777.83

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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.