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Finding the Fourth Proportional to 9,768.04, 14,628.30 and 4,575.40

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Solution

The fourth proportional to 9,768.04, 14,628.30 and 4,575.40 is: 6,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.04 : 14,628.30 = 4,575.40 : x
  2. Step 2: Convert to fraction form
    9,768.04/14,628.30 = 4,575.40/x
  3. Step 3: Cross multiply
    9,768.04x = 14,628.30 × 4,575.40
  4. Step 4: Simplify right side
    9,768.04x = 66,930,323.82
  5. Step 5: Solve for x
    x = 66,930,323.82/9,768.04
  6. Step 6: Final answer
    x = 6,851.97

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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.