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Finding the Fourth Proportional to 9,386.14, 12,956.11 and 5,408.84

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Solution

The fourth proportional to 9,386.14, 12,956.11 and 5,408.84 is: 7,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.14 : 12,956.11 = 5,408.84 : x
  2. Step 2: Convert to fraction form
    9,386.14/12,956.11 = 5,408.84/x
  3. Step 3: Cross multiply
    9,386.14x = 12,956.11 × 5,408.84
  4. Step 4: Simplify right side
    9,386.14x = 70,077,447.71
  5. Step 5: Solve for x
    x = 70,077,447.71/9,386.14
  6. Step 6: Final answer
    x = 7,466.06

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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.