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Finding the Fourth Proportional to 9,780.69, 13,499.08 and 5,804.00

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Solution

The fourth proportional to 9,780.69, 13,499.08 and 5,804.00 is: 8,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.69 : 13,499.08 = 5,804.00 : x
  2. Step 2: Convert to fraction form
    9,780.69/13,499.08 = 5,804.00/x
  3. Step 3: Cross multiply
    9,780.69x = 13,499.08 × 5,804.00
  4. Step 4: Simplify right side
    9,780.69x = 78,348,578.31
  5. Step 5: Solve for x
    x = 78,348,578.31/9,780.69
  6. Step 6: Final answer
    x = 8,010.54

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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.