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Finding the Fourth Proportional to 9,577.40, 14,366.10 and 9,431.60

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Solution

The fourth proportional to 9,577.40, 14,366.10 and 9,431.60 is: 14,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.40 : 14,366.10 = 9,431.60 : x
  2. Step 2: Convert to fraction form
    9,577.40/14,366.10 = 9,431.60/x
  3. Step 3: Cross multiply
    9,577.40x = 14,366.10 × 9,431.60
  4. Step 4: Simplify right side
    9,577.40x = 135,495,308.76
  5. Step 5: Solve for x
    x = 135,495,308.76/9,577.40
  6. Step 6: Final answer
    x = 14,147.40

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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.