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Finding the Fourth Proportional to 9,894.44, 14,840.75 and 3,319.77

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Solution

The fourth proportional to 9,894.44, 14,840.75 and 3,319.77 is: 4,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.44 : 14,840.75 = 3,319.77 : x
  2. Step 2: Convert to fraction form
    9,894.44/14,840.75 = 3,319.77/x
  3. Step 3: Cross multiply
    9,894.44x = 14,840.75 × 3,319.77
  4. Step 4: Simplify right side
    9,894.44x = 49,267,876.63
  5. Step 5: Solve for x
    x = 49,267,876.63/9,894.44
  6. Step 6: Final answer
    x = 4,979.35

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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.