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Finding the Fourth Proportional to 9,966.36, 13,778.46 and 7,478.04

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Solution

The fourth proportional to 9,966.36, 13,778.46 and 7,478.04 is: 10,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.36 : 13,778.46 = 7,478.04 : x
  2. Step 2: Convert to fraction form
    9,966.36/13,778.46 = 7,478.04/x
  3. Step 3: Cross multiply
    9,966.36x = 13,778.46 × 7,478.04
  4. Step 4: Simplify right side
    9,966.36x = 103,035,875.02
  5. Step 5: Solve for x
    x = 103,035,875.02/9,966.36
  6. Step 6: Final answer
    x = 10,338.37

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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.