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Finding the Fourth Proportional to 9,688.65, 14,536.50 and 5,986.62

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Solution

The fourth proportional to 9,688.65, 14,536.50 and 5,986.62 is: 8,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.65 : 14,536.50 = 5,986.62 : x
  2. Step 2: Convert to fraction form
    9,688.65/14,536.50 = 5,986.62/x
  3. Step 3: Cross multiply
    9,688.65x = 14,536.50 × 5,986.62
  4. Step 4: Simplify right side
    9,688.65x = 87,024,501.63
  5. Step 5: Solve for x
    x = 87,024,501.63/9,688.65
  6. Step 6: Final answer
    x = 8,982.11

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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.