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Finding the Fourth Proportional to 6,277.10, 9,415.72 and 1,894.60

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Solution

The fourth proportional to 6,277.10, 9,415.72 and 1,894.60 is: 2,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.10 : 9,415.72 = 1,894.60 : x
  2. Step 2: Convert to fraction form
    6,277.10/9,415.72 = 1,894.60/x
  3. Step 3: Cross multiply
    6,277.10x = 9,415.72 × 1,894.60
  4. Step 4: Simplify right side
    6,277.10x = 17,839,023.11
  5. Step 5: Solve for x
    x = 17,839,023.11/6,277.10
  6. Step 6: Final answer
    x = 2,841.92

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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.