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Finding the Fourth Proportional to 9,884.80, 14,810.80 and 6,956.96

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Solution

The fourth proportional to 9,884.80, 14,810.80 and 6,956.96 is: 10,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.80 : 14,810.80 = 6,956.96 : x
  2. Step 2: Convert to fraction form
    9,884.80/14,810.80 = 6,956.96/x
  3. Step 3: Cross multiply
    9,884.80x = 14,810.80 × 6,956.96
  4. Step 4: Simplify right side
    9,884.80x = 103,038,069.11
  5. Step 5: Solve for x
    x = 103,038,069.11/9,884.80
  6. Step 6: Final answer
    x = 10,423.89

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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.