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Finding the Fourth Proportional to 9,615.78, 13,258.86 and 7,841.88

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Solution

The fourth proportional to 9,615.78, 13,258.86 and 7,841.88 is: 10,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.78 : 13,258.86 = 7,841.88 : x
  2. Step 2: Convert to fraction form
    9,615.78/13,258.86 = 7,841.88/x
  3. Step 3: Cross multiply
    9,615.78x = 13,258.86 × 7,841.88
  4. Step 4: Simplify right side
    9,615.78x = 103,974,389.06
  5. Step 5: Solve for x
    x = 103,974,389.06/9,615.78
  6. Step 6: Final answer
    x = 10,812.89

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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.