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Finding the Fourth Proportional to 9,523.54, 13,141.65 and 5,274.51

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Solution

The fourth proportional to 9,523.54, 13,141.65 and 5,274.51 is: 7,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.54 : 13,141.65 = 5,274.51 : x
  2. Step 2: Convert to fraction form
    9,523.54/13,141.65 = 5,274.51/x
  3. Step 3: Cross multiply
    9,523.54x = 13,141.65 × 5,274.51
  4. Step 4: Simplify right side
    9,523.54x = 69,315,698.63
  5. Step 5: Solve for x
    x = 69,315,698.63/9,523.54
  6. Step 6: Final answer
    x = 7,278.35

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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.