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Finding the Fourth Proportional to 9,438.32, 12,995.16 and 8,019.20

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Solution

The fourth proportional to 9,438.32, 12,995.16 and 8,019.20 is: 11,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.32 : 12,995.16 = 8,019.20 : x
  2. Step 2: Convert to fraction form
    9,438.32/12,995.16 = 8,019.20/x
  3. Step 3: Cross multiply
    9,438.32x = 12,995.16 × 8,019.20
  4. Step 4: Simplify right side
    9,438.32x = 104,210,787.07
  5. Step 5: Solve for x
    x = 104,210,787.07/9,438.32
  6. Step 6: Final answer
    x = 11,041.24

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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.