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Finding the Fourth Proportional to 9,014.40, 13,525.65 and 3,175.20

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Solution

The fourth proportional to 9,014.40, 13,525.65 and 3,175.20 is: 4,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.40 : 13,525.65 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    9,014.40/13,525.65 = 3,175.20/x
  3. Step 3: Cross multiply
    9,014.40x = 13,525.65 × 3,175.20
  4. Step 4: Simplify right side
    9,014.40x = 42,946,643.88
  5. Step 5: Solve for x
    x = 42,946,643.88/9,014.40
  6. Step 6: Final answer
    x = 4,764.23

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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.