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Finding the Fourth Proportional to 9,673.37, 14,502.74 and 4,991.34

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Solution

The fourth proportional to 9,673.37, 14,502.74 and 4,991.34 is: 7,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.37 : 14,502.74 = 4,991.34 : x
  2. Step 2: Convert to fraction form
    9,673.37/14,502.74 = 4,991.34/x
  3. Step 3: Cross multiply
    9,673.37x = 14,502.74 × 4,991.34
  4. Step 4: Simplify right side
    9,673.37x = 72,388,081.31
  5. Step 5: Solve for x
    x = 72,388,081.31/9,673.37
  6. Step 6: Final answer
    x = 7,483.24

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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.