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Finding the Fourth Proportional to 9,646.34, 14,478.44 and 5,955.80

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Solution

The fourth proportional to 9,646.34, 14,478.44 and 5,955.80 is: 8,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.34 : 14,478.44 = 5,955.80 : x
  2. Step 2: Convert to fraction form
    9,646.34/14,478.44 = 5,955.80/x
  3. Step 3: Cross multiply
    9,646.34x = 14,478.44 × 5,955.80
  4. Step 4: Simplify right side
    9,646.34x = 86,230,590.78
  5. Step 5: Solve for x
    x = 86,230,590.78/9,646.34
  6. Step 6: Final answer
    x = 8,939.21

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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.