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Finding the Fourth Proportional to 9,231.60, 13,842.92 and 4,300.08

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Solution

The fourth proportional to 9,231.60, 13,842.92 and 4,300.08 is: 6,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.60 : 13,842.92 = 4,300.08 : x
  2. Step 2: Convert to fraction form
    9,231.60/13,842.92 = 4,300.08/x
  3. Step 3: Cross multiply
    9,231.60x = 13,842.92 × 4,300.08
  4. Step 4: Simplify right side
    9,231.60x = 59,525,663.43
  5. Step 5: Solve for x
    x = 59,525,663.43/9,231.60
  6. Step 6: Final answer
    x = 6,448.03

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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.