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Finding the Fourth Proportional to 9,690.69, 14,510.66 and 6,348.43

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Solution

The fourth proportional to 9,690.69, 14,510.66 and 6,348.43 is: 9,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.69 : 14,510.66 = 6,348.43 : x
  2. Step 2: Convert to fraction form
    9,690.69/14,510.66 = 6,348.43/x
  3. Step 3: Cross multiply
    9,690.69x = 14,510.66 × 6,348.43
  4. Step 4: Simplify right side
    9,690.69x = 92,119,841.25
  5. Step 5: Solve for x
    x = 92,119,841.25/9,690.69
  6. Step 6: Final answer
    x = 9,506.01

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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.