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Finding the Fourth Proportional to 9,494.98, 13,094.56 and 7,906.88

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Solution

The fourth proportional to 9,494.98, 13,094.56 and 7,906.88 is: 10,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.98 : 13,094.56 = 7,906.88 : x
  2. Step 2: Convert to fraction form
    9,494.98/13,094.56 = 7,906.88/x
  3. Step 3: Cross multiply
    9,494.98x = 13,094.56 × 7,906.88
  4. Step 4: Simplify right side
    9,494.98x = 103,537,075.04
  5. Step 5: Solve for x
    x = 103,537,075.04/9,494.98
  6. Step 6: Final answer
    x = 10,904.41

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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.