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Finding the Fourth Proportional to 9,362.13, 14,047.58 and 4,096.46

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Solution

The fourth proportional to 9,362.13, 14,047.58 and 4,096.46 is: 6,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.13 : 14,047.58 = 4,096.46 : x
  2. Step 2: Convert to fraction form
    9,362.13/14,047.58 = 4,096.46/x
  3. Step 3: Cross multiply
    9,362.13x = 14,047.58 × 4,096.46
  4. Step 4: Simplify right side
    9,362.13x = 57,545,258.85
  5. Step 5: Solve for x
    x = 57,545,258.85/9,362.13
  6. Step 6: Final answer
    x = 6,146.60

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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.