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Finding the Fourth Proportional to 8,641.64, 12,946.05 and 8,630.70

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Solution

The fourth proportional to 8,641.64, 12,946.05 and 8,630.70 is: 12,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.64 : 12,946.05 = 8,630.70 : x
  2. Step 2: Convert to fraction form
    8,641.64/12,946.05 = 8,630.70/x
  3. Step 3: Cross multiply
    8,641.64x = 12,946.05 × 8,630.70
  4. Step 4: Simplify right side
    8,641.64x = 111,733,473.74
  5. Step 5: Solve for x
    x = 111,733,473.74/8,641.64
  6. Step 6: Final answer
    x = 12,929.67

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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.