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Finding the Fourth Proportional to 9,139.51, 13,709.81 and 2,899.41

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Solution

The fourth proportional to 9,139.51, 13,709.81 and 2,899.41 is: 4,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.51 : 13,709.81 = 2,899.41 : x
  2. Step 2: Convert to fraction form
    9,139.51/13,709.81 = 2,899.41/x
  3. Step 3: Cross multiply
    9,139.51x = 13,709.81 × 2,899.41
  4. Step 4: Simplify right side
    9,139.51x = 39,750,277.17
  5. Step 5: Solve for x
    x = 39,750,277.17/9,139.51
  6. Step 6: Final answer
    x = 4,349.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.