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Finding the Fourth Proportional to 9,709.86, 13,399.79 and 5,460.81

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Solution

The fourth proportional to 9,709.86, 13,399.79 and 5,460.81 is: 7,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.86 : 13,399.79 = 5,460.81 : x
  2. Step 2: Convert to fraction form
    9,709.86/13,399.79 = 5,460.81/x
  3. Step 3: Cross multiply
    9,709.86x = 13,399.79 × 5,460.81
  4. Step 4: Simplify right side
    9,709.86x = 73,173,707.23
  5. Step 5: Solve for x
    x = 73,173,707.23/9,709.86
  6. Step 6: Final answer
    x = 7,536.02

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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.