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Finding the Fourth Proportional to 9,615.78, 13,271.08 and 5,638.48

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Solution

The fourth proportional to 9,615.78, 13,271.08 and 5,638.48 is: 7,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.78 : 13,271.08 = 5,638.48 : x
  2. Step 2: Convert to fraction form
    9,615.78/13,271.08 = 5,638.48/x
  3. Step 3: Cross multiply
    9,615.78x = 13,271.08 × 5,638.48
  4. Step 4: Simplify right side
    9,615.78x = 74,828,719.16
  5. Step 5: Solve for x
    x = 74,828,719.16/9,615.78
  6. Step 6: Final answer
    x = 7,781.87

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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.