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Finding the Fourth Proportional to 9,696.25, 14,544.43 and 3,852.88

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Solution

The fourth proportional to 9,696.25, 14,544.43 and 3,852.88 is: 5,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.25 : 14,544.43 = 3,852.88 : x
  2. Step 2: Convert to fraction form
    9,696.25/14,544.43 = 3,852.88/x
  3. Step 3: Cross multiply
    9,696.25x = 14,544.43 × 3,852.88
  4. Step 4: Simplify right side
    9,696.25x = 56,037,897.47
  5. Step 5: Solve for x
    x = 56,037,897.47/9,696.25
  6. Step 6: Final answer
    x = 5,779.34

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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.