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Finding the Fourth Proportional to 9,686.81, 14,530.32 and 9,214.67

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Solution

The fourth proportional to 9,686.81, 14,530.32 and 9,214.67 is: 13,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.81 : 14,530.32 = 9,214.67 : x
  2. Step 2: Convert to fraction form
    9,686.81/14,530.32 = 9,214.67/x
  3. Step 3: Cross multiply
    9,686.81x = 14,530.32 × 9,214.67
  4. Step 4: Simplify right side
    9,686.81x = 133,892,031.14
  5. Step 5: Solve for x
    x = 133,892,031.14/9,686.81
  6. Step 6: Final answer
    x = 13,822.10

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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.