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Finding the Fourth Proportional to 9,507.29, 13,120.01 and 5,315.54

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Solution

The fourth proportional to 9,507.29, 13,120.01 and 5,315.54 is: 7,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.29 : 13,120.01 = 5,315.54 : x
  2. Step 2: Convert to fraction form
    9,507.29/13,120.01 = 5,315.54/x
  3. Step 3: Cross multiply
    9,507.29x = 13,120.01 × 5,315.54
  4. Step 4: Simplify right side
    9,507.29x = 69,739,865.71
  5. Step 5: Solve for x
    x = 69,739,865.71/9,507.29
  6. Step 6: Final answer
    x = 7,335.41

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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.