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Finding the Fourth Proportional to 9,507.71, 13,121.06 and 5,315.96

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Solution

The fourth proportional to 9,507.71, 13,121.06 and 5,315.96 is: 7,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.71 : 13,121.06 = 5,315.96 : x
  2. Step 2: Convert to fraction form
    9,507.71/13,121.06 = 5,315.96/x
  3. Step 3: Cross multiply
    9,507.71x = 13,121.06 × 5,315.96
  4. Step 4: Simplify right side
    9,507.71x = 69,751,030.12
  5. Step 5: Solve for x
    x = 69,751,030.12/9,507.71
  6. Step 6: Final answer
    x = 7,336.26

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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.