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Finding the Fourth Proportional to 9,842.08, 13,581.72 and 5,650

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Solution

The fourth proportional to 9,842.08, 13,581.72 and 5,650 is: 7,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.08 : 13,581.72 = 5,650 : x
  2. Step 2: Convert to fraction form
    9,842.08/13,581.72 = 5,650/x
  3. Step 3: Cross multiply
    9,842.08x = 13,581.72 × 5,650
  4. Step 4: Simplify right side
    9,842.08x = 76,736,718
  5. Step 5: Solve for x
    x = 76,736,718/9,842.08
  6. Step 6: Final answer
    x = 7,796.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.