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Finding the Fourth Proportional to 6,412.47, 8,845.83 and 4,419.60

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Solution

The fourth proportional to 6,412.47, 8,845.83 and 4,419.60 is: 6,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.47 : 8,845.83 = 4,419.60 : x
  2. Step 2: Convert to fraction form
    6,412.47/8,845.83 = 4,419.60/x
  3. Step 3: Cross multiply
    6,412.47x = 8,845.83 × 4,419.60
  4. Step 4: Simplify right side
    6,412.47x = 39,095,030.27
  5. Step 5: Solve for x
    x = 39,095,030.27/6,412.47
  6. Step 6: Final answer
    x = 6,096.72

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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.