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Finding the Fourth Proportional to 6,128.16, 9,184.94 and 3,525.63

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Solution

The fourth proportional to 6,128.16, 9,184.94 and 3,525.63 is: 5,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.16 : 9,184.94 = 3,525.63 : x
  2. Step 2: Convert to fraction form
    6,128.16/9,184.94 = 3,525.63/x
  3. Step 3: Cross multiply
    6,128.16x = 9,184.94 × 3,525.63
  4. Step 4: Simplify right side
    6,128.16x = 32,382,700.01
  5. Step 5: Solve for x
    x = 32,382,700.01/6,128.16
  6. Step 6: Final answer
    x = 5,284.25

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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.