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Finding the Fourth Proportional to 9,709.34, 14,564.02 and 4,159.09

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Solution

The fourth proportional to 9,709.34, 14,564.02 and 4,159.09 is: 6,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.34 : 14,564.02 = 4,159.09 : x
  2. Step 2: Convert to fraction form
    9,709.34/14,564.02 = 4,159.09/x
  3. Step 3: Cross multiply
    9,709.34x = 14,564.02 × 4,159.09
  4. Step 4: Simplify right side
    9,709.34x = 60,573,069.94
  5. Step 5: Solve for x
    x = 60,573,069.94/9,709.34
  6. Step 6: Final answer
    x = 6,238.64

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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.