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Finding the Fourth Proportional to 9,342.51, 14,009.94 and 4,660.80

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Solution

The fourth proportional to 9,342.51, 14,009.94 and 4,660.80 is: 6,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.51 : 14,009.94 = 4,660.80 : x
  2. Step 2: Convert to fraction form
    9,342.51/14,009.94 = 4,660.80/x
  3. Step 3: Cross multiply
    9,342.51x = 14,009.94 × 4,660.80
  4. Step 4: Simplify right side
    9,342.51x = 65,297,528.35
  5. Step 5: Solve for x
    x = 65,297,528.35/9,342.51
  6. Step 6: Final answer
    x = 6,989.29

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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.