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Finding the Fourth Proportional to 9,575.10, 14,357.70 and 2,999.52

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Solution

The fourth proportional to 9,575.10, 14,357.70 and 2,999.52 is: 4,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.10 : 14,357.70 = 2,999.52 : x
  2. Step 2: Convert to fraction form
    9,575.10/14,357.70 = 2,999.52/x
  3. Step 3: Cross multiply
    9,575.10x = 14,357.70 × 2,999.52
  4. Step 4: Simplify right side
    9,575.10x = 43,066,208.30
  5. Step 5: Solve for x
    x = 43,066,208.30/9,575.10
  6. Step 6: Final answer
    x = 4,497.73

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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.