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Finding the Fourth Proportional to 9,779.99, 13,507.46 and 9,004.97

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Solution

The fourth proportional to 9,779.99, 13,507.46 and 9,004.97 is: 12,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.99 : 13,507.46 = 9,004.97 : x
  2. Step 2: Convert to fraction form
    9,779.99/13,507.46 = 9,004.97/x
  3. Step 3: Cross multiply
    9,779.99x = 13,507.46 × 9,004.97
  4. Step 4: Simplify right side
    9,779.99x = 121,634,294.59
  5. Step 5: Solve for x
    x = 121,634,294.59/9,779.99
  6. Step 6: Final answer
    x = 12,437.06

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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.