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Finding the Fourth Proportional to 6,408.40, 8,830.47 and 4,727.15

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Solution

The fourth proportional to 6,408.40, 8,830.47 and 4,727.15 is: 6,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.40 : 8,830.47 = 4,727.15 : x
  2. Step 2: Convert to fraction form
    6,408.40/8,830.47 = 4,727.15/x
  3. Step 3: Cross multiply
    6,408.40x = 8,830.47 × 4,727.15
  4. Step 4: Simplify right side
    6,408.40x = 41,742,956.26
  5. Step 5: Solve for x
    x = 41,742,956.26/6,408.40
  6. Step 6: Final answer
    x = 6,513.79

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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.