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Finding the Fourth Proportional to 9,677.10, 14,515.64 and 6,389.42

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Solution

The fourth proportional to 9,677.10, 14,515.64 and 6,389.42 is: 9,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.10 : 14,515.64 = 6,389.42 : x
  2. Step 2: Convert to fraction form
    9,677.10/14,515.64 = 6,389.42/x
  3. Step 3: Cross multiply
    9,677.10x = 14,515.64 × 6,389.42
  4. Step 4: Simplify right side
    9,677.10x = 92,746,416.00
  5. Step 5: Solve for x
    x = 92,746,416.00/9,677.10
  6. Step 6: Final answer
    x = 9,584.11

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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.