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Finding the Fourth Proportional to 9,548.21, 14,258.01 and 7,796.63

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Solution

The fourth proportional to 9,548.21, 14,258.01 and 7,796.63 is: 11,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.21 : 14,258.01 = 7,796.63 : x
  2. Step 2: Convert to fraction form
    9,548.21/14,258.01 = 7,796.63/x
  3. Step 3: Cross multiply
    9,548.21x = 14,258.01 × 7,796.63
  4. Step 4: Simplify right side
    9,548.21x = 111,164,464.15
  5. Step 5: Solve for x
    x = 111,164,464.15/9,548.21
  6. Step 6: Final answer
    x = 11,642.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.