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Finding the Fourth Proportional to 9,354.63, 14,034.38 and 4,674.45

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Solution

The fourth proportional to 9,354.63, 14,034.38 and 4,674.45 is: 7,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.63 : 14,034.38 = 4,674.45 : x
  2. Step 2: Convert to fraction form
    9,354.63/14,034.38 = 4,674.45/x
  3. Step 3: Cross multiply
    9,354.63x = 14,034.38 × 4,674.45
  4. Step 4: Simplify right side
    9,354.63x = 65,603,007.59
  5. Step 5: Solve for x
    x = 65,603,007.59/9,354.63
  6. Step 6: Final answer
    x = 7,012.89

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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.