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Finding the Fourth Proportional to 6,275.16, 9,414.09 and 1,893.06

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Solution

The fourth proportional to 6,275.16, 9,414.09 and 1,893.06 is: 2,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.16 : 9,414.09 = 1,893.06 : x
  2. Step 2: Convert to fraction form
    6,275.16/9,414.09 = 1,893.06/x
  3. Step 3: Cross multiply
    6,275.16x = 9,414.09 × 1,893.06
  4. Step 4: Simplify right side
    6,275.16x = 17,821,437.22
  5. Step 5: Solve for x
    x = 17,821,437.22/6,275.16
  6. Step 6: Final answer
    x = 2,840.00

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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.