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Finding the Fourth Proportional to 9,466.90, 14,200.35 and 4,858.90

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Solution

The fourth proportional to 9,466.90, 14,200.35 and 4,858.90 is: 7,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.90 : 14,200.35 = 4,858.90 : x
  2. Step 2: Convert to fraction form
    9,466.90/14,200.35 = 4,858.90/x
  3. Step 3: Cross multiply
    9,466.90x = 14,200.35 × 4,858.90
  4. Step 4: Simplify right side
    9,466.90x = 68,998,080.62
  5. Step 5: Solve for x
    x = 68,998,080.62/9,466.90
  6. Step 6: Final answer
    x = 7,288.35

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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.