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Finding the Fourth Proportional to 9,783.83, 14,662.47 and 4,507.23

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Solution

The fourth proportional to 9,783.83, 14,662.47 and 4,507.23 is: 6,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.83 : 14,662.47 = 4,507.23 : x
  2. Step 2: Convert to fraction form
    9,783.83/14,662.47 = 4,507.23/x
  3. Step 3: Cross multiply
    9,783.83x = 14,662.47 × 4,507.23
  4. Step 4: Simplify right side
    9,783.83x = 66,087,150.57
  5. Step 5: Solve for x
    x = 66,087,150.57/9,783.83
  6. Step 6: Final answer
    x = 6,754.74

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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.