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Finding the Fourth Proportional to 9,404.82, 12,980.12 and 5,427.18

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Solution

The fourth proportional to 9,404.82, 12,980.12 and 5,427.18 is: 7,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.82 : 12,980.12 = 5,427.18 : x
  2. Step 2: Convert to fraction form
    9,404.82/12,980.12 = 5,427.18/x
  3. Step 3: Cross multiply
    9,404.82x = 12,980.12 × 5,427.18
  4. Step 4: Simplify right side
    9,404.82x = 70,445,420.53
  5. Step 5: Solve for x
    x = 70,445,420.53/9,404.82
  6. Step 6: Final answer
    x = 7,490.35

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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.