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Finding the Fourth Proportional to 9,746.97, 14,618.35 and 3,083.99

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Solution

The fourth proportional to 9,746.97, 14,618.35 and 3,083.99 is: 4,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.97 : 14,618.35 = 3,083.99 : x
  2. Step 2: Convert to fraction form
    9,746.97/14,618.35 = 3,083.99/x
  3. Step 3: Cross multiply
    9,746.97x = 14,618.35 × 3,083.99
  4. Step 4: Simplify right side
    9,746.97x = 45,082,845.22
  5. Step 5: Solve for x
    x = 45,082,845.22/9,746.97
  6. Step 6: Final answer
    x = 4,625.32

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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.