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Finding the Fourth Proportional to 9,157.44, 12,619.32 and 7,483.20

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Solution

The fourth proportional to 9,157.44, 12,619.32 and 7,483.20 is: 10,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 12,619.32 = 7,483.20 : x
  2. Step 2: Convert to fraction form
    9,157.44/12,619.32 = 7,483.20/x
  3. Step 3: Cross multiply
    9,157.44x = 12,619.32 × 7,483.20
  4. Step 4: Simplify right side
    9,157.44x = 94,432,895.42
  5. Step 5: Solve for x
    x = 94,432,895.42/9,157.44
  6. Step 6: Final answer
    x = 10,312.15

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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.