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Finding the Fourth Proportional to 9,588.26, 14,384.78 and 9,429.34

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Solution

The fourth proportional to 9,588.26, 14,384.78 and 9,429.34 is: 14,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.26 : 14,384.78 = 9,429.34 : x
  2. Step 2: Convert to fraction form
    9,588.26/14,384.78 = 9,429.34/x
  3. Step 3: Cross multiply
    9,588.26x = 14,384.78 × 9,429.34
  4. Step 4: Simplify right side
    9,588.26x = 135,638,981.45
  5. Step 5: Solve for x
    x = 135,638,981.45/9,588.26
  6. Step 6: Final answer
    x = 14,146.36

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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.