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Finding the Fourth Proportional to 9,386.63, 12,956.43 and 5,410.39

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Solution

The fourth proportional to 9,386.63, 12,956.43 and 5,410.39 is: 7,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.63 : 12,956.43 = 5,410.39 : x
  2. Step 2: Convert to fraction form
    9,386.63/12,956.43 = 5,410.39/x
  3. Step 3: Cross multiply
    9,386.63x = 12,956.43 × 5,410.39
  4. Step 4: Simplify right side
    9,386.63x = 70,099,306.92
  5. Step 5: Solve for x
    x = 70,099,306.92/9,386.63
  6. Step 6: Final answer
    x = 7,468.00

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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.