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Finding the Fourth Proportional to 9,813.44, 14,720.16 and 6,904.76

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Solution

The fourth proportional to 9,813.44, 14,720.16 and 6,904.76 is: 10,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.44 : 14,720.16 = 6,904.76 : x
  2. Step 2: Convert to fraction form
    9,813.44/14,720.16 = 6,904.76/x
  3. Step 3: Cross multiply
    9,813.44x = 14,720.16 × 6,904.76
  4. Step 4: Simplify right side
    9,813.44x = 101,639,171.96
  5. Step 5: Solve for x
    x = 101,639,171.96/9,813.44
  6. Step 6: Final answer
    x = 10,357.14

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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.