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Finding the Fourth Proportional to 9,667.98, 14,501.03 and 3,092.40

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Solution

The fourth proportional to 9,667.98, 14,501.03 and 3,092.40 is: 4,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.98 : 14,501.03 = 3,092.40 : x
  2. Step 2: Convert to fraction form
    9,667.98/14,501.03 = 3,092.40/x
  3. Step 3: Cross multiply
    9,667.98x = 14,501.03 × 3,092.40
  4. Step 4: Simplify right side
    9,667.98x = 44,842,969.71
  5. Step 5: Solve for x
    x = 44,842,969.71/9,667.98
  6. Step 6: Final answer
    x = 4,638.30

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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.