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Finding the Fourth Proportional to 9,254.46, 13,887.12 and 3,415.14

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Solution

The fourth proportional to 9,254.46, 13,887.12 and 3,415.14 is: 5,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.46 : 13,887.12 = 3,415.14 : x
  2. Step 2: Convert to fraction form
    9,254.46/13,887.12 = 3,415.14/x
  3. Step 3: Cross multiply
    9,254.46x = 13,887.12 × 3,415.14
  4. Step 4: Simplify right side
    9,254.46x = 47,426,459.00
  5. Step 5: Solve for x
    x = 47,426,459.00/9,254.46
  6. Step 6: Final answer
    x = 5,124.71

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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.