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Finding the Fourth Proportional to 9,616.40, 14,419.80 and 4,416.40

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Solution

The fourth proportional to 9,616.40, 14,419.80 and 4,416.40 is: 6,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 14,419.80 = 4,416.40 : x
  2. Step 2: Convert to fraction form
    9,616.40/14,419.80 = 4,416.40/x
  3. Step 3: Cross multiply
    9,616.40x = 14,419.80 × 4,416.40
  4. Step 4: Simplify right side
    9,616.40x = 63,683,604.72
  5. Step 5: Solve for x
    x = 63,683,604.72/9,616.40
  6. Step 6: Final answer
    x = 6,622.40

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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.