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Finding the Fourth Proportional to 9,696.12, 14,534.46 and 4,146

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Solution

The fourth proportional to 9,696.12, 14,534.46 and 4,146 is: 6,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.12 : 14,534.46 = 4,146 : x
  2. Step 2: Convert to fraction form
    9,696.12/14,534.46 = 4,146/x
  3. Step 3: Cross multiply
    9,696.12x = 14,534.46 × 4,146
  4. Step 4: Simplify right side
    9,696.12x = 60,259,871.16
  5. Step 5: Solve for x
    x = 60,259,871.16/9,696.12
  6. Step 6: Final answer
    x = 6,214.84

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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.