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Finding the Fourth Proportional to 8,946.54, 13,429.53 and 7,566.30

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Solution

The fourth proportional to 8,946.54, 13,429.53 and 7,566.30 is: 11,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.54 : 13,429.53 = 7,566.30 : x
  2. Step 2: Convert to fraction form
    8,946.54/13,429.53 = 7,566.30/x
  3. Step 3: Cross multiply
    8,946.54x = 13,429.53 × 7,566.30
  4. Step 4: Simplify right side
    8,946.54x = 101,611,852.84
  5. Step 5: Solve for x
    x = 101,611,852.84/8,946.54
  6. Step 6: Final answer
    x = 11,357.67

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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.