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Finding the Fourth Proportional to 9,281.70, 13,886.10 and 8,406.90

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Solution

The fourth proportional to 9,281.70, 13,886.10 and 8,406.90 is: 12,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.70 : 13,886.10 = 8,406.90 : x
  2. Step 2: Convert to fraction form
    9,281.70/13,886.10 = 8,406.90/x
  3. Step 3: Cross multiply
    9,281.70x = 13,886.10 × 8,406.90
  4. Step 4: Simplify right side
    9,281.70x = 116,739,054.09
  5. Step 5: Solve for x
    x = 116,739,054.09/9,281.70
  6. Step 6: Final answer
    x = 12,577.34

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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.