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Finding the Fourth Proportional to 9,809.07, 14,708.98 and 3,564.68

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Solution

The fourth proportional to 9,809.07, 14,708.98 and 3,564.68 is: 5,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.07 : 14,708.98 = 3,564.68 : x
  2. Step 2: Convert to fraction form
    9,809.07/14,708.98 = 3,564.68/x
  3. Step 3: Cross multiply
    9,809.07x = 14,708.98 × 3,564.68
  4. Step 4: Simplify right side
    9,809.07x = 52,432,806.83
  5. Step 5: Solve for x
    x = 52,432,806.83/9,809.07
  6. Step 6: Final answer
    x = 5,345.34

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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.