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Finding the Fourth Proportional to 9,707.83, 14,566.07 and 5,089.75

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Solution

The fourth proportional to 9,707.83, 14,566.07 and 5,089.75 is: 7,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.83 : 14,566.07 = 5,089.75 : x
  2. Step 2: Convert to fraction form
    9,707.83/14,566.07 = 5,089.75/x
  3. Step 3: Cross multiply
    9,707.83x = 14,566.07 × 5,089.75
  4. Step 4: Simplify right side
    9,707.83x = 74,137,629.33
  5. Step 5: Solve for x
    x = 74,137,629.33/9,707.83
  6. Step 6: Final answer
    x = 7,636.89

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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.