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Finding the Fourth Proportional to 9,460.96, 14,186.58 and 4,264

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Solution

The fourth proportional to 9,460.96, 14,186.58 and 4,264 is: 6,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.96 : 14,186.58 = 4,264 : x
  2. Step 2: Convert to fraction form
    9,460.96/14,186.58 = 4,264/x
  3. Step 3: Cross multiply
    9,460.96x = 14,186.58 × 4,264
  4. Step 4: Simplify right side
    9,460.96x = 60,491,577.12
  5. Step 5: Solve for x
    x = 60,491,577.12/9,460.96
  6. Step 6: Final answer
    x = 6,393.81

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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.