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Finding the Fourth Proportional to 9,616.84, 14,403.34 and 6,106.64

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Solution

The fourth proportional to 9,616.84, 14,403.34 and 6,106.64 is: 9,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.84 : 14,403.34 = 6,106.64 : x
  2. Step 2: Convert to fraction form
    9,616.84/14,403.34 = 6,106.64/x
  3. Step 3: Cross multiply
    9,616.84x = 14,403.34 × 6,106.64
  4. Step 4: Simplify right side
    9,616.84x = 87,956,012.18
  5. Step 5: Solve for x
    x = 87,956,012.18/9,616.84
  6. Step 6: Final answer
    x = 9,146.04

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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.