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Finding the Fourth Proportional to 9,790.20, 14,687.73 and 4,590

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Solution

The fourth proportional to 9,790.20, 14,687.73 and 4,590 is: 6,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.20 : 14,687.73 = 4,590 : x
  2. Step 2: Convert to fraction form
    9,790.20/14,687.73 = 4,590/x
  3. Step 3: Cross multiply
    9,790.20x = 14,687.73 × 4,590
  4. Step 4: Simplify right side
    9,790.20x = 67,416,680.70
  5. Step 5: Solve for x
    x = 67,416,680.70/9,790.20
  6. Step 6: Final answer
    x = 6,886.14

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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.