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Finding the Fourth Proportional to 9,573.40, 14,364.96 and 5,630.32

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Solution

The fourth proportional to 9,573.40, 14,364.96 and 5,630.32 is: 8,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.40 : 14,364.96 = 5,630.32 : x
  2. Step 2: Convert to fraction form
    9,573.40/14,364.96 = 5,630.32/x
  3. Step 3: Cross multiply
    9,573.40x = 14,364.96 × 5,630.32
  4. Step 4: Simplify right side
    9,573.40x = 80,879,321.59
  5. Step 5: Solve for x
    x = 80,879,321.59/9,573.40
  6. Step 6: Final answer
    x = 8,448.34

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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.