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Finding the Fourth Proportional to 9,779.90, 13,499.32 and 6,597.80

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Solution

The fourth proportional to 9,779.90, 13,499.32 and 6,597.80 is: 9,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.90 : 13,499.32 = 6,597.80 : x
  2. Step 2: Convert to fraction form
    9,779.90/13,499.32 = 6,597.80/x
  3. Step 3: Cross multiply
    9,779.90x = 13,499.32 × 6,597.80
  4. Step 4: Simplify right side
    9,779.90x = 89,065,813.50
  5. Step 5: Solve for x
    x = 89,065,813.50/9,779.90
  6. Step 6: Final answer
    x = 9,107.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.