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Finding the Fourth Proportional to 9,667.63, 14,507.03 and 5,225.31

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Solution

The fourth proportional to 9,667.63, 14,507.03 and 5,225.31 is: 7,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.63 : 14,507.03 = 5,225.31 : x
  2. Step 2: Convert to fraction form
    9,667.63/14,507.03 = 5,225.31/x
  3. Step 3: Cross multiply
    9,667.63x = 14,507.03 × 5,225.31
  4. Step 4: Simplify right side
    9,667.63x = 75,803,728.93
  5. Step 5: Solve for x
    x = 75,803,728.93/9,667.63
  6. Step 6: Final answer
    x = 7,840.98

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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.