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Finding the Fourth Proportional to 9,486.90, 14,230.35 and 8,466.30

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Solution

The fourth proportional to 9,486.90, 14,230.35 and 8,466.30 is: 12,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.90 : 14,230.35 = 8,466.30 : x
  2. Step 2: Convert to fraction form
    9,486.90/14,230.35 = 8,466.30/x
  3. Step 3: Cross multiply
    9,486.90x = 14,230.35 × 8,466.30
  4. Step 4: Simplify right side
    9,486.90x = 120,478,412.21
  5. Step 5: Solve for x
    x = 120,478,412.21/9,486.90
  6. Step 6: Final answer
    x = 12,699.45

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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.