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Finding the Fourth Proportional to 9,574.13, 14,354.28 and 6,446.39

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Solution

The fourth proportional to 9,574.13, 14,354.28 and 6,446.39 is: 9,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.13 : 14,354.28 = 6,446.39 : x
  2. Step 2: Convert to fraction form
    9,574.13/14,354.28 = 6,446.39/x
  3. Step 3: Cross multiply
    9,574.13x = 14,354.28 × 6,446.39
  4. Step 4: Simplify right side
    9,574.13x = 92,533,215.28
  5. Step 5: Solve for x
    x = 92,533,215.28/9,574.13
  6. Step 6: Final answer
    x = 9,664.92

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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.