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Finding the Fourth Proportional to 9,109.58, 12,571.43 and 5,130.81

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Solution

The fourth proportional to 9,109.58, 12,571.43 and 5,130.81 is: 7,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.58 : 12,571.43 = 5,130.81 : x
  2. Step 2: Convert to fraction form
    9,109.58/12,571.43 = 5,130.81/x
  3. Step 3: Cross multiply
    9,109.58x = 12,571.43 × 5,130.81
  4. Step 4: Simplify right side
    9,109.58x = 64,501,593.10
  5. Step 5: Solve for x
    x = 64,501,593.10/9,109.58
  6. Step 6: Final answer
    x = 7,080.64

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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.