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Finding the Fourth Proportional to 9,649.70, 14,467.14 and 4,901.96

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Solution

The fourth proportional to 9,649.70, 14,467.14 and 4,901.96 is: 7,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.70 : 14,467.14 = 4,901.96 : x
  2. Step 2: Convert to fraction form
    9,649.70/14,467.14 = 4,901.96/x
  3. Step 3: Cross multiply
    9,649.70x = 14,467.14 × 4,901.96
  4. Step 4: Simplify right side
    9,649.70x = 70,917,341.59
  5. Step 5: Solve for x
    x = 70,917,341.59/9,649.70
  6. Step 6: Final answer
    x = 7,349.18

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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.