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Finding the Fourth Proportional to 9,686.34, 14,518.62 and 4,136.88

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Solution

The fourth proportional to 9,686.34, 14,518.62 and 4,136.88 is: 6,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.34 : 14,518.62 = 4,136.88 : x
  2. Step 2: Convert to fraction form
    9,686.34/14,518.62 = 4,136.88/x
  3. Step 3: Cross multiply
    9,686.34x = 14,518.62 × 4,136.88
  4. Step 4: Simplify right side
    9,686.34x = 60,061,788.71
  5. Step 5: Solve for x
    x = 60,061,788.71/9,686.34
  6. Step 6: Final answer
    x = 6,200.67

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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.