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Finding the Fourth Proportional to 9,457.83, 14,182.83 and 5,074.47

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Solution

The fourth proportional to 9,457.83, 14,182.83 and 5,074.47 is: 7,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.83 : 14,182.83 = 5,074.47 : x
  2. Step 2: Convert to fraction form
    9,457.83/14,182.83 = 5,074.47/x
  3. Step 3: Cross multiply
    9,457.83x = 14,182.83 × 5,074.47
  4. Step 4: Simplify right side
    9,457.83x = 71,970,345.35
  5. Step 5: Solve for x
    x = 71,970,345.35/9,457.83
  6. Step 6: Final answer
    x = 7,609.60

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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.