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Finding the Fourth Proportional to 6,277.17, 9,415.32 and 1,894.65

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Solution

The fourth proportional to 6,277.17, 9,415.32 and 1,894.65 is: 2,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.17 : 9,415.32 = 1,894.65 : x
  2. Step 2: Convert to fraction form
    6,277.17/9,415.32 = 1,894.65/x
  3. Step 3: Cross multiply
    6,277.17x = 9,415.32 × 1,894.65
  4. Step 4: Simplify right side
    6,277.17x = 17,838,736.04
  5. Step 5: Solve for x
    x = 17,838,736.04/6,277.17
  6. Step 6: Final answer
    x = 2,841.84

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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.