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Finding the Fourth Proportional to 9,564.89, 14,345.92 and 5,117.08

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Solution

The fourth proportional to 9,564.89, 14,345.92 and 5,117.08 is: 7,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.89 : 14,345.92 = 5,117.08 : x
  2. Step 2: Convert to fraction form
    9,564.89/14,345.92 = 5,117.08/x
  3. Step 3: Cross multiply
    9,564.89x = 14,345.92 × 5,117.08
  4. Step 4: Simplify right side
    9,564.89x = 73,409,194.73
  5. Step 5: Solve for x
    x = 73,409,194.73/9,564.89
  6. Step 6: Final answer
    x = 7,674.86

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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.