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Finding the Fourth Proportional to 9,014.64, 13,511.62 and 3,465.12

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Solution

The fourth proportional to 9,014.64, 13,511.62 and 3,465.12 is: 5,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.64 : 13,511.62 = 3,465.12 : x
  2. Step 2: Convert to fraction form
    9,014.64/13,511.62 = 3,465.12/x
  3. Step 3: Cross multiply
    9,014.64x = 13,511.62 × 3,465.12
  4. Step 4: Simplify right side
    9,014.64x = 46,819,384.69
  5. Step 5: Solve for x
    x = 46,819,384.69/9,014.64
  6. Step 6: Final answer
    x = 5,193.71

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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.