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Finding the Fourth Proportional to 9,649.35, 14,474.70 and 4,102.07

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Solution

The fourth proportional to 9,649.35, 14,474.70 and 4,102.07 is: 6,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.35 : 14,474.70 = 4,102.07 : x
  2. Step 2: Convert to fraction form
    9,649.35/14,474.70 = 4,102.07/x
  3. Step 3: Cross multiply
    9,649.35x = 14,474.70 × 4,102.07
  4. Step 4: Simplify right side
    9,649.35x = 59,376,160.26
  5. Step 5: Solve for x
    x = 59,376,160.26/9,649.35
  6. Step 6: Final answer
    x = 6,153.38

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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.