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Finding the Fourth Proportional to 9,823.38, 14,728.59 and 3,973.14

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Solution

The fourth proportional to 9,823.38, 14,728.59 and 3,973.14 is: 5,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.38 : 14,728.59 = 3,973.14 : x
  2. Step 2: Convert to fraction form
    9,823.38/14,728.59 = 3,973.14/x
  3. Step 3: Cross multiply
    9,823.38x = 14,728.59 × 3,973.14
  4. Step 4: Simplify right side
    9,823.38x = 58,518,750.07
  5. Step 5: Solve for x
    x = 58,518,750.07/9,823.38
  6. Step 6: Final answer
    x = 5,957.09

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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.