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Finding the Fourth Proportional to 9,656.89, 14,484.42 and 3,081.93

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Solution

The fourth proportional to 9,656.89, 14,484.42 and 3,081.93 is: 4,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.89 : 14,484.42 = 3,081.93 : x
  2. Step 2: Convert to fraction form
    9,656.89/14,484.42 = 3,081.93/x
  3. Step 3: Cross multiply
    9,656.89x = 14,484.42 × 3,081.93
  4. Step 4: Simplify right side
    9,656.89x = 44,639,968.53
  5. Step 5: Solve for x
    x = 44,639,968.53/9,656.89
  6. Step 6: Final answer
    x = 4,622.60

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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.