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Finding the Fourth Proportional to 6,466.70, 8,928.27 and 4,971.86

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Solution

The fourth proportional to 6,466.70, 8,928.27 and 4,971.86 is: 6,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.70 : 8,928.27 = 4,971.86 : x
  2. Step 2: Convert to fraction form
    6,466.70/8,928.27 = 4,971.86/x
  3. Step 3: Cross multiply
    6,466.70x = 8,928.27 × 4,971.86
  4. Step 4: Simplify right side
    6,466.70x = 44,390,108.48
  5. Step 5: Solve for x
    x = 44,390,108.48/6,466.70
  6. Step 6: Final answer
    x = 6,864.41

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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.