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Finding the Fourth Proportional to 9,720.99, 14,580.27 and 3,146.49

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Solution

The fourth proportional to 9,720.99, 14,580.27 and 3,146.49 is: 4,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.99 : 14,580.27 = 3,146.49 : x
  2. Step 2: Convert to fraction form
    9,720.99/14,580.27 = 3,146.49/x
  3. Step 3: Cross multiply
    9,720.99x = 14,580.27 × 3,146.49
  4. Step 4: Simplify right side
    9,720.99x = 45,876,673.75
  5. Step 5: Solve for x
    x = 45,876,673.75/9,720.99
  6. Step 6: Final answer
    x = 4,719.34

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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.