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Finding the Fourth Proportional to 6,093.94, 9,140.91 and 1,476.94

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Solution

The fourth proportional to 6,093.94, 9,140.91 and 1,476.94 is: 2,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.94 : 9,140.91 = 1,476.94 : x
  2. Step 2: Convert to fraction form
    6,093.94/9,140.91 = 1,476.94/x
  3. Step 3: Cross multiply
    6,093.94x = 9,140.91 × 1,476.94
  4. Step 4: Simplify right side
    6,093.94x = 13,500,547.22
  5. Step 5: Solve for x
    x = 13,500,547.22/6,093.94
  6. Step 6: Final answer
    x = 2,215.41

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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.