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Finding the Fourth Proportional to 9,709.41, 13,398.59 and 5,460.36

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Solution

The fourth proportional to 9,709.41, 13,398.59 and 5,460.36 is: 7,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.41 : 13,398.59 = 5,460.36 : x
  2. Step 2: Convert to fraction form
    9,709.41/13,398.59 = 5,460.36/x
  3. Step 3: Cross multiply
    9,709.41x = 13,398.59 × 5,460.36
  4. Step 4: Simplify right side
    9,709.41x = 73,161,097.59
  5. Step 5: Solve for x
    x = 73,161,097.59/9,709.41
  6. Step 6: Final answer
    x = 7,535.07

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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.