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Finding the Fourth Proportional to 9,594.33, 14,393.46 and 4,047.69

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Solution

The fourth proportional to 9,594.33, 14,393.46 and 4,047.69 is: 6,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.33 : 14,393.46 = 4,047.69 : x
  2. Step 2: Convert to fraction form
    9,594.33/14,393.46 = 4,047.69/x
  3. Step 3: Cross multiply
    9,594.33x = 14,393.46 × 4,047.69
  4. Step 4: Simplify right side
    9,594.33x = 58,260,264.11
  5. Step 5: Solve for x
    x = 58,260,264.11/9,594.33
  6. Step 6: Final answer
    x = 6,072.36

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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.