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Finding the Fourth Proportional to 9,709.26, 14,564.07 and 3,134.94

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Solution

The fourth proportional to 9,709.26, 14,564.07 and 3,134.94 is: 4,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.26 : 14,564.07 = 3,134.94 : x
  2. Step 2: Convert to fraction form
    9,709.26/14,564.07 = 3,134.94/x
  3. Step 3: Cross multiply
    9,709.26x = 14,564.07 × 3,134.94
  4. Step 4: Simplify right side
    9,709.26x = 45,657,485.61
  5. Step 5: Solve for x
    x = 45,657,485.61/9,709.26
  6. Step 6: Final answer
    x = 4,702.47

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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.