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Finding the Fourth Proportional to 9,368.96, 14,051.28 and 4,172

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Solution

The fourth proportional to 9,368.96, 14,051.28 and 4,172 is: 6,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.96 : 14,051.28 = 4,172 : x
  2. Step 2: Convert to fraction form
    9,368.96/14,051.28 = 4,172/x
  3. Step 3: Cross multiply
    9,368.96x = 14,051.28 × 4,172
  4. Step 4: Simplify right side
    9,368.96x = 58,621,940.16
  5. Step 5: Solve for x
    x = 58,621,940.16/9,368.96
  6. Step 6: Final answer
    x = 6,257.04

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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.