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Finding the Fourth Proportional to 7,814.37, 10,788.86 and 6,973.62

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Solution

The fourth proportional to 7,814.37, 10,788.86 and 6,973.62 is: 9,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.37 : 10,788.86 = 6,973.62 : x
  2. Step 2: Convert to fraction form
    7,814.37/10,788.86 = 6,973.62/x
  3. Step 3: Cross multiply
    7,814.37x = 10,788.86 × 6,973.62
  4. Step 4: Simplify right side
    7,814.37x = 75,237,409.87
  5. Step 5: Solve for x
    x = 75,237,409.87/7,814.37
  6. Step 6: Final answer
    x = 9,628.08

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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.