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Finding the Fourth Proportional to 9,678.65, 14,509.38 and 3,437.84

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Solution

The fourth proportional to 9,678.65, 14,509.38 and 3,437.84 is: 5,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.65 : 14,509.38 = 3,437.84 : x
  2. Step 2: Convert to fraction form
    9,678.65/14,509.38 = 3,437.84/x
  3. Step 3: Cross multiply
    9,678.65x = 14,509.38 × 3,437.84
  4. Step 4: Simplify right side
    9,678.65x = 49,880,956.77
  5. Step 5: Solve for x
    x = 49,880,956.77/9,678.65
  6. Step 6: Final answer
    x = 5,153.71

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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.