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Finding the Fourth Proportional to 9,507.90, 13,120.62 and 5,316.14

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Solution

The fourth proportional to 9,507.90, 13,120.62 and 5,316.14 is: 7,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.90 : 13,120.62 = 5,316.14 : x
  2. Step 2: Convert to fraction form
    9,507.90/13,120.62 = 5,316.14/x
  3. Step 3: Cross multiply
    9,507.90x = 13,120.62 × 5,316.14
  4. Step 4: Simplify right side
    9,507.90x = 69,751,052.81
  5. Step 5: Solve for x
    x = 69,751,052.81/9,507.90
  6. Step 6: Final answer
    x = 7,336.12

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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.