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Finding the Fourth Proportional to 6,477.16, 8,927.72 and 4,586.32

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Solution

The fourth proportional to 6,477.16, 8,927.72 and 4,586.32 is: 6,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.16 : 8,927.72 = 4,586.32 : x
  2. Step 2: Convert to fraction form
    6,477.16/8,927.72 = 4,586.32/x
  3. Step 3: Cross multiply
    6,477.16x = 8,927.72 × 4,586.32
  4. Step 4: Simplify right side
    6,477.16x = 40,945,380.79
  5. Step 5: Solve for x
    x = 40,945,380.79/6,477.16
  6. Step 6: Final answer
    x = 6,321.50

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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.