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Finding the Fourth Proportional to 6,335.64, 8,742.60 and 3,973.68

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Solution

The fourth proportional to 6,335.64, 8,742.60 and 3,973.68 is: 5,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.64 : 8,742.60 = 3,973.68 : x
  2. Step 2: Convert to fraction form
    6,335.64/8,742.60 = 3,973.68/x
  3. Step 3: Cross multiply
    6,335.64x = 8,742.60 × 3,973.68
  4. Step 4: Simplify right side
    6,335.64x = 34,740,294.77
  5. Step 5: Solve for x
    x = 34,740,294.77/6,335.64
  6. Step 6: Final answer
    x = 5,483.31

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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.