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Finding the Fourth Proportional to 9,407.46, 12,983.64 and 5,429.94

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Solution

The fourth proportional to 9,407.46, 12,983.64 and 5,429.94 is: 7,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.46 : 12,983.64 = 5,429.94 : x
  2. Step 2: Convert to fraction form
    9,407.46/12,983.64 = 5,429.94/x
  3. Step 3: Cross multiply
    9,407.46x = 12,983.64 × 5,429.94
  4. Step 4: Simplify right side
    9,407.46x = 70,500,386.18
  5. Step 5: Solve for x
    x = 70,500,386.18/9,407.46
  6. Step 6: Final answer
    x = 7,494.09

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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.