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Finding the Fourth Proportional to 6,405.48, 8,835.48 and 5,647.32

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Solution

The fourth proportional to 6,405.48, 8,835.48 and 5,647.32 is: 7,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.48 : 8,835.48 = 5,647.32 : x
  2. Step 2: Convert to fraction form
    6,405.48/8,835.48 = 5,647.32/x
  3. Step 3: Cross multiply
    6,405.48x = 8,835.48 × 5,647.32
  4. Step 4: Simplify right side
    6,405.48x = 49,896,782.91
  5. Step 5: Solve for x
    x = 49,896,782.91/6,405.48
  6. Step 6: Final answer
    x = 7,789.70

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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.