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Finding the Fourth Proportional to 9,820.74, 14,725.53 and 6,704.51

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Solution

The fourth proportional to 9,820.74, 14,725.53 and 6,704.51 is: 10,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.74 : 14,725.53 = 6,704.51 : x
  2. Step 2: Convert to fraction form
    9,820.74/14,725.53 = 6,704.51/x
  3. Step 3: Cross multiply
    9,820.74x = 14,725.53 × 6,704.51
  4. Step 4: Simplify right side
    9,820.74x = 98,727,389.51
  5. Step 5: Solve for x
    x = 98,727,389.51/9,820.74
  6. Step 6: Final answer
    x = 10,052.94

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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.