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Finding the Fourth Proportional to 9,386.64, 12,955.68 and 5,408.46

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Solution

The fourth proportional to 9,386.64, 12,955.68 and 5,408.46 is: 7,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.64 : 12,955.68 = 5,408.46 : x
  2. Step 2: Convert to fraction form
    9,386.64/12,955.68 = 5,408.46/x
  3. Step 3: Cross multiply
    9,386.64x = 12,955.68 × 5,408.46
  4. Step 4: Simplify right side
    9,386.64x = 70,070,277.05
  5. Step 5: Solve for x
    x = 70,070,277.05/9,386.64
  6. Step 6: Final answer
    x = 7,464.89

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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.