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Finding the Fourth Proportional to 9,840.45, 13,579.49 and 5,364.13

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Solution

The fourth proportional to 9,840.45, 13,579.49 and 5,364.13 is: 7,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.45 : 13,579.49 = 5,364.13 : x
  2. Step 2: Convert to fraction form
    9,840.45/13,579.49 = 5,364.13/x
  3. Step 3: Cross multiply
    9,840.45x = 13,579.49 × 5,364.13
  4. Step 4: Simplify right side
    9,840.45x = 72,842,122.87
  5. Step 5: Solve for x
    x = 72,842,122.87/9,840.45
  6. Step 6: Final answer
    x = 7,402.32

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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.