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Finding the Fourth Proportional to 9,315.32, 13,975.28 and 7,652.25

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Solution

The fourth proportional to 9,315.32, 13,975.28 and 7,652.25 is: 11,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.32 : 13,975.28 = 7,652.25 : x
  2. Step 2: Convert to fraction form
    9,315.32/13,975.28 = 7,652.25/x
  3. Step 3: Cross multiply
    9,315.32x = 13,975.28 × 7,652.25
  4. Step 4: Simplify right side
    9,315.32x = 106,942,298.12
  5. Step 5: Solve for x
    x = 106,942,298.12/9,315.32
  6. Step 6: Final answer
    x = 11,480.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.