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Finding the Fourth Proportional to 9,134.60, 13,705.10 and 3,291.40

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Solution

The fourth proportional to 9,134.60, 13,705.10 and 3,291.40 is: 4,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.60 : 13,705.10 = 3,291.40 : x
  2. Step 2: Convert to fraction form
    9,134.60/13,705.10 = 3,291.40/x
  3. Step 3: Cross multiply
    9,134.60x = 13,705.10 × 3,291.40
  4. Step 4: Simplify right side
    9,134.60x = 45,108,966.14
  5. Step 5: Solve for x
    x = 45,108,966.14/9,134.60
  6. Step 6: Final answer
    x = 4,938.25

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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.