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Finding the Fourth Proportional to 9,784.58, 14,676.70 and 3,941.04

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Solution

The fourth proportional to 9,784.58, 14,676.70 and 3,941.04 is: 5,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.58 : 14,676.70 = 3,941.04 : x
  2. Step 2: Convert to fraction form
    9,784.58/14,676.70 = 3,941.04/x
  3. Step 3: Cross multiply
    9,784.58x = 14,676.70 × 3,941.04
  4. Step 4: Simplify right side
    9,784.58x = 57,841,461.77
  5. Step 5: Solve for x
    x = 57,841,461.77/9,784.58
  6. Step 6: Final answer
    x = 5,911.49

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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.