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Finding the Fourth Proportional to 9,314.54, 13,964.28 and 3,070.66

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Solution

The fourth proportional to 9,314.54, 13,964.28 and 3,070.66 is: 4,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.54 : 13,964.28 = 3,070.66 : x
  2. Step 2: Convert to fraction form
    9,314.54/13,964.28 = 3,070.66/x
  3. Step 3: Cross multiply
    9,314.54x = 13,964.28 × 3,070.66
  4. Step 4: Simplify right side
    9,314.54x = 42,879,556.02
  5. Step 5: Solve for x
    x = 42,879,556.02/9,314.54
  6. Step 6: Final answer
    x = 4,603.51

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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.