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Finding the Fourth Proportional to 9,374.63, 14,051.00 and 5,212.64

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Solution

The fourth proportional to 9,374.63, 14,051.00 and 5,212.64 is: 7,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.63 : 14,051.00 = 5,212.64 : x
  2. Step 2: Convert to fraction form
    9,374.63/14,051.00 = 5,212.64/x
  3. Step 3: Cross multiply
    9,374.63x = 14,051.00 × 5,212.64
  4. Step 4: Simplify right side
    9,374.63x = 73,242,852.80
  5. Step 5: Solve for x
    x = 73,242,852.80/9,374.63
  6. Step 6: Final answer
    x = 7,812.88

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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.