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Finding the Fourth Proportional to 9,594.90, 14,392.35 and 5,716.62

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Solution

The fourth proportional to 9,594.90, 14,392.35 and 5,716.62 is: 8,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.90 : 14,392.35 = 5,716.62 : x
  2. Step 2: Convert to fraction form
    9,594.90/14,392.35 = 5,716.62/x
  3. Step 3: Cross multiply
    9,594.90x = 14,392.35 × 5,716.62
  4. Step 4: Simplify right side
    9,594.90x = 82,275,595.86
  5. Step 5: Solve for x
    x = 82,275,595.86/9,594.90
  6. Step 6: Final answer
    x = 8,574.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.