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Finding the Fourth Proportional to 9,122.32, 13,695.28 and 4,742.84

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Solution

The fourth proportional to 9,122.32, 13,695.28 and 4,742.84 is: 7,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.32 : 13,695.28 = 4,742.84 : x
  2. Step 2: Convert to fraction form
    9,122.32/13,695.28 = 4,742.84/x
  3. Step 3: Cross multiply
    9,122.32x = 13,695.28 × 4,742.84
  4. Step 4: Simplify right side
    9,122.32x = 64,954,521.80
  5. Step 5: Solve for x
    x = 64,954,521.80/9,122.32
  6. Step 6: Final answer
    x = 7,120.40

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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.