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Finding the Fourth Proportional to 9,751.40, 14,624.30 and 3,178.16

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Solution

The fourth proportional to 9,751.40, 14,624.30 and 3,178.16 is: 4,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.40 : 14,624.30 = 3,178.16 : x
  2. Step 2: Convert to fraction form
    9,751.40/14,624.30 = 3,178.16/x
  3. Step 3: Cross multiply
    9,751.40x = 14,624.30 × 3,178.16
  4. Step 4: Simplify right side
    9,751.40x = 46,478,292.17
  5. Step 5: Solve for x
    x = 46,478,292.17/9,751.40
  6. Step 6: Final answer
    x = 4,766.32

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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.