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Finding the Fourth Proportional to 9,307.56, 13,942.46 and 4,613.42

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Solution

The fourth proportional to 9,307.56, 13,942.46 and 4,613.42 is: 6,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.56 : 13,942.46 = 4,613.42 : x
  2. Step 2: Convert to fraction form
    9,307.56/13,942.46 = 4,613.42/x
  3. Step 3: Cross multiply
    9,307.56x = 13,942.46 × 4,613.42
  4. Step 4: Simplify right side
    9,307.56x = 64,322,423.81
  5. Step 5: Solve for x
    x = 64,322,423.81/9,307.56
  6. Step 6: Final answer
    x = 6,910.77

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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.