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Finding the Fourth Proportional to 9,485.31, 13,090.64 and 6,758.31

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Solution

The fourth proportional to 9,485.31, 13,090.64 and 6,758.31 is: 9,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.31 : 13,090.64 = 6,758.31 : x
  2. Step 2: Convert to fraction form
    9,485.31/13,090.64 = 6,758.31/x
  3. Step 3: Cross multiply
    9,485.31x = 13,090.64 × 6,758.31
  4. Step 4: Simplify right side
    9,485.31x = 88,470,569.43
  5. Step 5: Solve for x
    x = 88,470,569.43/9,485.31
  6. Step 6: Final answer
    x = 9,327.11

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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.