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Finding the Fourth Proportional to 9,456.34, 14,159.73 and 6,667.91

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Solution

The fourth proportional to 9,456.34, 14,159.73 and 6,667.91 is: 9,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.34 : 14,159.73 = 6,667.91 : x
  2. Step 2: Convert to fraction form
    9,456.34/14,159.73 = 6,667.91/x
  3. Step 3: Cross multiply
    9,456.34x = 14,159.73 × 6,667.91
  4. Step 4: Simplify right side
    9,456.34x = 94,415,805.26
  5. Step 5: Solve for x
    x = 94,415,805.26/9,456.34
  6. Step 6: Final answer
    x = 9,984.39

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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.