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Finding the Fourth Proportional to 9,688.20, 14,592.14 and 9,221.64

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Solution

The fourth proportional to 9,688.20, 14,592.14 and 9,221.64 is: 13,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.20 : 14,592.14 = 9,221.64 : x
  2. Step 2: Convert to fraction form
    9,688.20/14,592.14 = 9,221.64/x
  3. Step 3: Cross multiply
    9,688.20x = 14,592.14 × 9,221.64
  4. Step 4: Simplify right side
    9,688.20x = 134,563,461.91
  5. Step 5: Solve for x
    x = 134,563,461.91/9,688.20
  6. Step 6: Final answer
    x = 13,889.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.