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Finding the Fourth Proportional to 7,089.64, 9,784.68 and 4,106.41

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Solution

The fourth proportional to 7,089.64, 9,784.68 and 4,106.41 is: 5,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.64 : 9,784.68 = 4,106.41 : x
  2. Step 2: Convert to fraction form
    7,089.64/9,784.68 = 4,106.41/x
  3. Step 3: Cross multiply
    7,089.64x = 9,784.68 × 4,106.41
  4. Step 4: Simplify right side
    7,089.64x = 40,179,907.80
  5. Step 5: Solve for x
    x = 40,179,907.80/7,089.64
  6. Step 6: Final answer
    x = 5,667.41

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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.