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Finding the Fourth Proportional to 9,460.56, 14,186.01 and 5,513.07

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Solution

The fourth proportional to 9,460.56, 14,186.01 and 5,513.07 is: 8,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.56 : 14,186.01 = 5,513.07 : x
  2. Step 2: Convert to fraction form
    9,460.56/14,186.01 = 5,513.07/x
  3. Step 3: Cross multiply
    9,460.56x = 14,186.01 × 5,513.07
  4. Step 4: Simplify right side
    9,460.56x = 78,208,466.15
  5. Step 5: Solve for x
    x = 78,208,466.15/9,460.56
  6. Step 6: Final answer
    x = 8,266.79

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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.