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Finding the Fourth Proportional to 6,323.36, 9,477.65 and 4,758.35

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Solution

The fourth proportional to 6,323.36, 9,477.65 and 4,758.35 is: 7,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.36 : 9,477.65 = 4,758.35 : x
  2. Step 2: Convert to fraction form
    6,323.36/9,477.65 = 4,758.35/x
  3. Step 3: Cross multiply
    6,323.36x = 9,477.65 × 4,758.35
  4. Step 4: Simplify right side
    6,323.36x = 45,098,011.47
  5. Step 5: Solve for x
    x = 45,098,011.47/6,323.36
  6. Step 6: Final answer
    x = 7,131.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.