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Finding the Fourth Proportional to 9,783.28, 13,491.77 and 7,541.61

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Solution

The fourth proportional to 9,783.28, 13,491.77 and 7,541.61 is: 10,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.28 : 13,491.77 = 7,541.61 : x
  2. Step 2: Convert to fraction form
    9,783.28/13,491.77 = 7,541.61/x
  3. Step 3: Cross multiply
    9,783.28x = 13,491.77 × 7,541.61
  4. Step 4: Simplify right side
    9,783.28x = 101,749,579.25
  5. Step 5: Solve for x
    x = 101,749,579.25/9,783.28
  6. Step 6: Final answer
    x = 10,400.35

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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.