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Finding the Fourth Proportional to 10,461.36, 15,676.32 and 9,473.52

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Solution

The fourth proportional to 10,461.36, 15,676.32 and 9,473.52 is: 14,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.36 : 15,676.32 = 9,473.52 : x
  2. Step 2: Convert to fraction form
    10,461.36/15,676.32 = 9,473.52/x
  3. Step 3: Cross multiply
    10,461.36x = 15,676.32 × 9,473.52
  4. Step 4: Simplify right side
    10,461.36x = 148,509,931.05
  5. Step 5: Solve for x
    x = 148,509,931.05/10,461.36
  6. Step 6: Final answer
    x = 14,196.04

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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.