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Finding the Fourth Proportional to 9,649.47, 14,465.82 and 3,804.64

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Solution

The fourth proportional to 9,649.47, 14,465.82 and 3,804.64 is: 5,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.47 : 14,465.82 = 3,804.64 : x
  2. Step 2: Convert to fraction form
    9,649.47/14,465.82 = 3,804.64/x
  3. Step 3: Cross multiply
    9,649.47x = 14,465.82 × 3,804.64
  4. Step 4: Simplify right side
    9,649.47x = 55,037,237.40
  5. Step 5: Solve for x
    x = 55,037,237.40/9,649.47
  6. Step 6: Final answer
    x = 5,703.65

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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.