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Finding the Fourth Proportional to 9,779.26, 14,661.60 and 6,651.40

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Solution

The fourth proportional to 9,779.26, 14,661.60 and 6,651.40 is: 9,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.26 : 14,661.60 = 6,651.40 : x
  2. Step 2: Convert to fraction form
    9,779.26/14,661.60 = 6,651.40/x
  3. Step 3: Cross multiply
    9,779.26x = 14,661.60 × 6,651.40
  4. Step 4: Simplify right side
    9,779.26x = 97,520,166.24
  5. Step 5: Solve for x
    x = 97,520,166.24/9,779.26
  6. Step 6: Final answer
    x = 9,972.14

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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.