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Finding the Fourth Proportional to 10,690.65, 14,732.69 and 9,290.97

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Solution

The fourth proportional to 10,690.65, 14,732.69 and 9,290.97 is: 12,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.65 : 14,732.69 = 9,290.97 : x
  2. Step 2: Convert to fraction form
    10,690.65/14,732.69 = 9,290.97/x
  3. Step 3: Cross multiply
    10,690.65x = 14,732.69 × 9,290.97
  4. Step 4: Simplify right side
    10,690.65x = 136,880,934.35
  5. Step 5: Solve for x
    x = 136,880,934.35/10,690.65
  6. Step 6: Final answer
    x = 12,803.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.