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Finding the Fourth Proportional to 9,754.88, 13,460.92 and 5,775.28

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Solution

The fourth proportional to 9,754.88, 13,460.92 and 5,775.28 is: 7,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.88 : 13,460.92 = 5,775.28 : x
  2. Step 2: Convert to fraction form
    9,754.88/13,460.92 = 5,775.28/x
  3. Step 3: Cross multiply
    9,754.88x = 13,460.92 × 5,775.28
  4. Step 4: Simplify right side
    9,754.88x = 77,740,582.06
  5. Step 5: Solve for x
    x = 77,740,582.06/9,754.88
  6. Step 6: Final answer
    x = 7,969.40

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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.