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Finding the Fourth Proportional to 8,946.04, 13,410.96 and 5,476

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Solution

The fourth proportional to 8,946.04, 13,410.96 and 5,476 is: 8,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.04 : 13,410.96 = 5,476 : x
  2. Step 2: Convert to fraction form
    8,946.04/13,410.96 = 5,476/x
  3. Step 3: Cross multiply
    8,946.04x = 13,410.96 × 5,476
  4. Step 4: Simplify right side
    8,946.04x = 73,438,416.96
  5. Step 5: Solve for x
    x = 73,438,416.96/8,946.04
  6. Step 6: Final answer
    x = 8,209.04

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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.