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Finding the Fourth Proportional to 9,615.16, 13,271.70 and 5,636.44

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Solution

The fourth proportional to 9,615.16, 13,271.70 and 5,636.44 is: 7,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.16 : 13,271.70 = 5,636.44 : x
  2. Step 2: Convert to fraction form
    9,615.16/13,271.70 = 5,636.44/x
  3. Step 3: Cross multiply
    9,615.16x = 13,271.70 × 5,636.44
  4. Step 4: Simplify right side
    9,615.16x = 74,805,140.75
  5. Step 5: Solve for x
    x = 74,805,140.75/9,615.16
  6. Step 6: Final answer
    x = 7,779.92

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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.