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Finding the Fourth Proportional to 9,740.32, 14,609.76 and 3,893.20

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Solution

The fourth proportional to 9,740.32, 14,609.76 and 3,893.20 is: 5,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.32 : 14,609.76 = 3,893.20 : x
  2. Step 2: Convert to fraction form
    9,740.32/14,609.76 = 3,893.20/x
  3. Step 3: Cross multiply
    9,740.32x = 14,609.76 × 3,893.20
  4. Step 4: Simplify right side
    9,740.32x = 56,878,717.63
  5. Step 5: Solve for x
    x = 56,878,717.63/9,740.32
  6. Step 6: Final answer
    x = 5,839.51

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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.