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Finding the Fourth Proportional to 6,277.35, 9,417.72 and 1,894.95

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Solution

The fourth proportional to 6,277.35, 9,417.72 and 1,894.95 is: 2,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.35 : 9,417.72 = 1,894.95 : x
  2. Step 2: Convert to fraction form
    6,277.35/9,417.72 = 1,894.95/x
  3. Step 3: Cross multiply
    6,277.35x = 9,417.72 × 1,894.95
  4. Step 4: Simplify right side
    6,277.35x = 17,846,108.51
  5. Step 5: Solve for x
    x = 17,846,108.51/6,277.35
  6. Step 6: Final answer
    x = 2,842.94

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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.