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Finding the Fourth Proportional to 6,833.60, 9,430.13 and 4,145.12

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Solution

The fourth proportional to 6,833.60, 9,430.13 and 4,145.12 is: 5,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.60 : 9,430.13 = 4,145.12 : x
  2. Step 2: Convert to fraction form
    6,833.60/9,430.13 = 4,145.12/x
  3. Step 3: Cross multiply
    6,833.60x = 9,430.13 × 4,145.12
  4. Step 4: Simplify right side
    6,833.60x = 39,089,051.68
  5. Step 5: Solve for x
    x = 39,089,051.68/6,833.60
  6. Step 6: Final answer
    x = 5,720.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.