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Finding the Fourth Proportional to 9,678.56, 14,520.02 and 5,293.76

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Solution

The fourth proportional to 9,678.56, 14,520.02 and 5,293.76 is: 7,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.56 : 14,520.02 = 5,293.76 : x
  2. Step 2: Convert to fraction form
    9,678.56/14,520.02 = 5,293.76/x
  3. Step 3: Cross multiply
    9,678.56x = 14,520.02 × 5,293.76
  4. Step 4: Simplify right side
    9,678.56x = 76,865,501.08
  5. Step 5: Solve for x
    x = 76,865,501.08/9,678.56
  6. Step 6: Final answer
    x = 7,941.83

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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.