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Finding the Fourth Proportional to 6,419.37, 8,862.98 and 4,297.63

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Solution

The fourth proportional to 6,419.37, 8,862.98 and 4,297.63 is: 5,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.37 : 8,862.98 = 4,297.63 : x
  2. Step 2: Convert to fraction form
    6,419.37/8,862.98 = 4,297.63/x
  3. Step 3: Cross multiply
    6,419.37x = 8,862.98 × 4,297.63
  4. Step 4: Simplify right side
    6,419.37x = 38,089,808.74
  5. Step 5: Solve for x
    x = 38,089,808.74/6,419.37
  6. Step 6: Final answer
    x = 5,933.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.