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Finding the Fourth Proportional to 9,614.86, 14,435.57 and 6,645.99

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Solution

The fourth proportional to 9,614.86, 14,435.57 and 6,645.99 is: 9,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.86 : 14,435.57 = 6,645.99 : x
  2. Step 2: Convert to fraction form
    9,614.86/14,435.57 = 6,645.99/x
  3. Step 3: Cross multiply
    9,614.86x = 14,435.57 × 6,645.99
  4. Step 4: Simplify right side
    9,614.86x = 95,938,620.63
  5. Step 5: Solve for x
    x = 95,938,620.63/9,614.86
  6. Step 6: Final answer
    x = 9,978.16

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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.