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Finding the Fourth Proportional to 9,667.95, 14,567.76 and 7,951.41

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Solution

The fourth proportional to 9,667.95, 14,567.76 and 7,951.41 is: 11,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.95 : 14,567.76 = 7,951.41 : x
  2. Step 2: Convert to fraction form
    9,667.95/14,567.76 = 7,951.41/x
  3. Step 3: Cross multiply
    9,667.95x = 14,567.76 × 7,951.41
  4. Step 4: Simplify right side
    9,667.95x = 115,834,232.54
  5. Step 5: Solve for x
    x = 115,834,232.54/9,667.95
  6. Step 6: Final answer
    x = 11,981.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.