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Finding the Fourth Proportional to 9,316.47, 12,852.22 and 5,536.96

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Solution

The fourth proportional to 9,316.47, 12,852.22 and 5,536.96 is: 7,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.47 : 12,852.22 = 5,536.96 : x
  2. Step 2: Convert to fraction form
    9,316.47/12,852.22 = 5,536.96/x
  3. Step 3: Cross multiply
    9,316.47x = 12,852.22 × 5,536.96
  4. Step 4: Simplify right side
    9,316.47x = 71,162,232.50
  5. Step 5: Solve for x
    x = 71,162,232.50/9,316.47
  6. Step 6: Final answer
    x = 7,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.