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Finding the Fourth Proportional to 9,406.04, 12,981.10 and 5,214.20

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Solution

The fourth proportional to 9,406.04, 12,981.10 and 5,214.20 is: 7,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.04 : 12,981.10 = 5,214.20 : x
  2. Step 2: Convert to fraction form
    9,406.04/12,981.10 = 5,214.20/x
  3. Step 3: Cross multiply
    9,406.04x = 12,981.10 × 5,214.20
  4. Step 4: Simplify right side
    9,406.04x = 67,686,051.62
  5. Step 5: Solve for x
    x = 67,686,051.62/9,406.04
  6. Step 6: Final answer
    x = 7,196.02

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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.