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Finding the Fourth Proportional to 6,208.65, 9,312.75 and 1,528.45

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Solution

The fourth proportional to 6,208.65, 9,312.75 and 1,528.45 is: 2,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.65 : 9,312.75 = 1,528.45 : x
  2. Step 2: Convert to fraction form
    6,208.65/9,312.75 = 1,528.45/x
  3. Step 3: Cross multiply
    6,208.65x = 9,312.75 × 1,528.45
  4. Step 4: Simplify right side
    6,208.65x = 14,234,049.46
  5. Step 5: Solve for x
    x = 14,234,049.46/6,208.65
  6. Step 6: Final answer
    x = 2,292.62

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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.