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Finding the Fourth Proportional to 9,783.40, 14,681.49 and 4,857.25

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Solution

The fourth proportional to 9,783.40, 14,681.49 and 4,857.25 is: 7,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.40 : 14,681.49 = 4,857.25 : x
  2. Step 2: Convert to fraction form
    9,783.40/14,681.49 = 4,857.25/x
  3. Step 3: Cross multiply
    9,783.40x = 14,681.49 × 4,857.25
  4. Step 4: Simplify right side
    9,783.40x = 71,311,667.30
  5. Step 5: Solve for x
    x = 71,311,667.30/9,783.40
  6. Step 6: Final answer
    x = 7,289.05

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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.