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Finding the Fourth Proportional to 9,123.63, 13,686.32 and 4,194.64

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Solution

The fourth proportional to 9,123.63, 13,686.32 and 4,194.64 is: 6,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.63 : 13,686.32 = 4,194.64 : x
  2. Step 2: Convert to fraction form
    9,123.63/13,686.32 = 4,194.64/x
  3. Step 3: Cross multiply
    9,123.63x = 13,686.32 × 4,194.64
  4. Step 4: Simplify right side
    9,123.63x = 57,409,185.32
  5. Step 5: Solve for x
    x = 57,409,185.32/9,123.63
  6. Step 6: Final answer
    x = 6,292.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.