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Finding the Fourth Proportional to 6,085.28, 9,129.54 and 1,925.37

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Solution

The fourth proportional to 6,085.28, 9,129.54 and 1,925.37 is: 2,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.28 : 9,129.54 = 1,925.37 : x
  2. Step 2: Convert to fraction form
    6,085.28/9,129.54 = 1,925.37/x
  3. Step 3: Cross multiply
    6,085.28x = 9,129.54 × 1,925.37
  4. Step 4: Simplify right side
    6,085.28x = 17,577,742.43
  5. Step 5: Solve for x
    x = 17,577,742.43/6,085.28
  6. Step 6: Final answer
    x = 2,888.57

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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.