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Finding the Fourth Proportional to 10,689.81, 14,756.06 and 9,568.77

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Solution

The fourth proportional to 10,689.81, 14,756.06 and 9,568.77 is: 13,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.81 : 14,756.06 = 9,568.77 : x
  2. Step 2: Convert to fraction form
    10,689.81/14,756.06 = 9,568.77/x
  3. Step 3: Cross multiply
    10,689.81x = 14,756.06 × 9,568.77
  4. Step 4: Simplify right side
    10,689.81x = 141,197,296.40
  5. Step 5: Solve for x
    x = 141,197,296.40/10,689.81
  6. Step 6: Final answer
    x = 13,208.59

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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.