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Finding the Fourth Proportional to 9,752.10, 14,630.40 and 3,178.26

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Solution

The fourth proportional to 9,752.10, 14,630.40 and 3,178.26 is: 4,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.10 : 14,630.40 = 3,178.26 : x
  2. Step 2: Convert to fraction form
    9,752.10/14,630.40 = 3,178.26/x
  3. Step 3: Cross multiply
    9,752.10x = 14,630.40 × 3,178.26
  4. Step 4: Simplify right side
    9,752.10x = 46,499,215.10
  5. Step 5: Solve for x
    x = 46,499,215.10/9,752.10
  6. Step 6: Final answer
    x = 4,768.12

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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.