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Finding the Fourth Proportional to 9,629.63, 14,432.15 and 6,345.03

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Solution

The fourth proportional to 9,629.63, 14,432.15 and 6,345.03 is: 9,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.63 : 14,432.15 = 6,345.03 : x
  2. Step 2: Convert to fraction form
    9,629.63/14,432.15 = 6,345.03/x
  3. Step 3: Cross multiply
    9,629.63x = 14,432.15 × 6,345.03
  4. Step 4: Simplify right side
    9,629.63x = 91,572,476.85
  5. Step 5: Solve for x
    x = 91,572,476.85/9,629.63
  6. Step 6: Final answer
    x = 9,509.44

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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.