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Finding the Fourth Proportional to 9,410.58, 12,986.34 and 5,431.56

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Solution

The fourth proportional to 9,410.58, 12,986.34 and 5,431.56 is: 7,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.58 : 12,986.34 = 5,431.56 : x
  2. Step 2: Convert to fraction form
    9,410.58/12,986.34 = 5,431.56/x
  3. Step 3: Cross multiply
    9,410.58x = 12,986.34 × 5,431.56
  4. Step 4: Simplify right side
    9,410.58x = 70,536,084.89
  5. Step 5: Solve for x
    x = 70,536,084.89/9,410.58
  6. Step 6: Final answer
    x = 7,495.40

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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.