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Finding the Fourth Proportional to 9,554.96, 14,354.40 and 6,788.36

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Solution

The fourth proportional to 9,554.96, 14,354.40 and 6,788.36 is: 10,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.96 : 14,354.40 = 6,788.36 : x
  2. Step 2: Convert to fraction form
    9,554.96/14,354.40 = 6,788.36/x
  3. Step 3: Cross multiply
    9,554.96x = 14,354.40 × 6,788.36
  4. Step 4: Simplify right side
    9,554.96x = 97,442,834.78
  5. Step 5: Solve for x
    x = 97,442,834.78/9,554.96
  6. Step 6: Final answer
    x = 10,198.14

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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.