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Finding the Fourth Proportional to 9,005.04, 12,461.04 and 7,676.64

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Solution

The fourth proportional to 9,005.04, 12,461.04 and 7,676.64 is: 10,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.04 : 12,461.04 = 7,676.64 : x
  2. Step 2: Convert to fraction form
    9,005.04/12,461.04 = 7,676.64/x
  3. Step 3: Cross multiply
    9,005.04x = 12,461.04 × 7,676.64
  4. Step 4: Simplify right side
    9,005.04x = 95,658,918.11
  5. Step 5: Solve for x
    x = 95,658,918.11/9,005.04
  6. Step 6: Final answer
    x = 10,622.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.