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Finding the Fourth Proportional to 9,322.50, 12,865.25 and 5,130.75

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Solution

The fourth proportional to 9,322.50, 12,865.25 and 5,130.75 is: 7,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.50 : 12,865.25 = 5,130.75 : x
  2. Step 2: Convert to fraction form
    9,322.50/12,865.25 = 5,130.75/x
  3. Step 3: Cross multiply
    9,322.50x = 12,865.25 × 5,130.75
  4. Step 4: Simplify right side
    9,322.50x = 66,008,394.26
  5. Step 5: Solve for x
    x = 66,008,394.26/9,322.50
  6. Step 6: Final answer
    x = 7,080.55

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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.