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Finding the Fourth Proportional to 9,416.44, 14,116.02 and 4,219.48

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Solution

The fourth proportional to 9,416.44, 14,116.02 and 4,219.48 is: 6,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.44 : 14,116.02 = 4,219.48 : x
  2. Step 2: Convert to fraction form
    9,416.44/14,116.02 = 4,219.48/x
  3. Step 3: Cross multiply
    9,416.44x = 14,116.02 × 4,219.48
  4. Step 4: Simplify right side
    9,416.44x = 59,562,264.07
  5. Step 5: Solve for x
    x = 59,562,264.07/9,416.44
  6. Step 6: Final answer
    x = 6,325.35

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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.