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Finding the Fourth Proportional to 9,830.81, 14,746.12 and 3,986.03

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Solution

The fourth proportional to 9,830.81, 14,746.12 and 3,986.03 is: 5,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.81 : 14,746.12 = 3,986.03 : x
  2. Step 2: Convert to fraction form
    9,830.81/14,746.12 = 3,986.03/x
  3. Step 3: Cross multiply
    9,830.81x = 14,746.12 × 3,986.03
  4. Step 4: Simplify right side
    9,830.81x = 58,778,383.04
  5. Step 5: Solve for x
    x = 58,778,383.04/9,830.81
  6. Step 6: Final answer
    x = 5,979.00

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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.