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Finding the Fourth Proportional to 9,346.90, 14,007.56 and 5,189.80

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Solution

The fourth proportional to 9,346.90, 14,007.56 and 5,189.80 is: 7,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.90 : 14,007.56 = 5,189.80 : x
  2. Step 2: Convert to fraction form
    9,346.90/14,007.56 = 5,189.80/x
  3. Step 3: Cross multiply
    9,346.90x = 14,007.56 × 5,189.80
  4. Step 4: Simplify right side
    9,346.90x = 72,696,434.89
  5. Step 5: Solve for x
    x = 72,696,434.89/9,346.90
  6. Step 6: Final answer
    x = 7,777.60

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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.