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Finding the Fourth Proportional to 9,467.30, 14,199.98 and 4,202.40

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Solution

The fourth proportional to 9,467.30, 14,199.98 and 4,202.40 is: 6,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.30 : 14,199.98 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    9,467.30/14,199.98 = 4,202.40/x
  3. Step 3: Cross multiply
    9,467.30x = 14,199.98 × 4,202.40
  4. Step 4: Simplify right side
    9,467.30x = 59,673,995.95
  5. Step 5: Solve for x
    x = 59,673,995.95/9,467.30
  6. Step 6: Final answer
    x = 6,303.17

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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.