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Finding the Fourth Proportional to 9,591.63, 14,388.66 and 2,666.13

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Solution

The fourth proportional to 9,591.63, 14,388.66 and 2,666.13 is: 3,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.63 : 14,388.66 = 2,666.13 : x
  2. Step 2: Convert to fraction form
    9,591.63/14,388.66 = 2,666.13/x
  3. Step 3: Cross multiply
    9,591.63x = 14,388.66 × 2,666.13
  4. Step 4: Simplify right side
    9,591.63x = 38,362,038.09
  5. Step 5: Solve for x
    x = 38,362,038.09/9,591.63
  6. Step 6: Final answer
    x = 3,999.53

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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.