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Finding the Fourth Proportional to 9,321.60, 13,964.16 and 4,944

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Solution

The fourth proportional to 9,321.60, 13,964.16 and 4,944 is: 7,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 13,964.16 = 4,944 : x
  2. Step 2: Convert to fraction form
    9,321.60/13,964.16 = 4,944/x
  3. Step 3: Cross multiply
    9,321.60x = 13,964.16 × 4,944
  4. Step 4: Simplify right side
    9,321.60x = 69,038,807.04
  5. Step 5: Solve for x
    x = 69,038,807.04/9,321.60
  6. Step 6: Final answer
    x = 7,406.33

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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.