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Finding the Fourth Proportional to 9,289.30, 13,929.84 and 4,354.96

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Solution

The fourth proportional to 9,289.30, 13,929.84 and 4,354.96 is: 6,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.30 : 13,929.84 = 4,354.96 : x
  2. Step 2: Convert to fraction form
    9,289.30/13,929.84 = 4,354.96/x
  3. Step 3: Cross multiply
    9,289.30x = 13,929.84 × 4,354.96
  4. Step 4: Simplify right side
    9,289.30x = 60,663,896.01
  5. Step 5: Solve for x
    x = 60,663,896.01/9,289.30
  6. Step 6: Final answer
    x = 6,530.51

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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.