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Finding the Fourth Proportional to 9,267.21, 13,870.44 and 8,403.75

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Solution

The fourth proportional to 9,267.21, 13,870.44 and 8,403.75 is: 12,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.21 : 13,870.44 = 8,403.75 : x
  2. Step 2: Convert to fraction form
    9,267.21/13,870.44 = 8,403.75/x
  3. Step 3: Cross multiply
    9,267.21x = 13,870.44 × 8,403.75
  4. Step 4: Simplify right side
    9,267.21x = 116,563,710.15
  5. Step 5: Solve for x
    x = 116,563,710.15/9,267.21
  6. Step 6: Final answer
    x = 12,578.08

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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.