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Finding the Fourth Proportional to 9,869.81, 13,615.76 and 5,675.63

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Solution

The fourth proportional to 9,869.81, 13,615.76 and 5,675.63 is: 7,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.81 : 13,615.76 = 5,675.63 : x
  2. Step 2: Convert to fraction form
    9,869.81/13,615.76 = 5,675.63/x
  3. Step 3: Cross multiply
    9,869.81x = 13,615.76 × 5,675.63
  4. Step 4: Simplify right side
    9,869.81x = 77,277,962.04
  5. Step 5: Solve for x
    x = 77,277,962.04/9,869.81
  6. Step 6: Final answer
    x = 7,829.74

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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.