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Finding the Fourth Proportional to 6,145.37, 9,218.08 and 1,528.37

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Solution

The fourth proportional to 6,145.37, 9,218.08 and 1,528.37 is: 2,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.37 : 9,218.08 = 1,528.37 : x
  2. Step 2: Convert to fraction form
    6,145.37/9,218.08 = 1,528.37/x
  3. Step 3: Cross multiply
    6,145.37x = 9,218.08 × 1,528.37
  4. Step 4: Simplify right side
    6,145.37x = 14,088,587.02
  5. Step 5: Solve for x
    x = 14,088,587.02/6,145.37
  6. Step 6: Final answer
    x = 2,292.55

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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.