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Finding the Fourth Proportional to 9,390.10, 12,958.94 and 5,411.46

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Solution

The fourth proportional to 9,390.10, 12,958.94 and 5,411.46 is: 7,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.10 : 12,958.94 = 5,411.46 : x
  2. Step 2: Convert to fraction form
    9,390.10/12,958.94 = 5,411.46/x
  3. Step 3: Cross multiply
    9,390.10x = 12,958.94 × 5,411.46
  4. Step 4: Simplify right side
    9,390.10x = 70,126,785.45
  5. Step 5: Solve for x
    x = 70,126,785.45/9,390.10
  6. Step 6: Final answer
    x = 7,468.16

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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.