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Finding the Fourth Proportional to 9,636.84, 13,300.14 and 5,445

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Solution

The fourth proportional to 9,636.84, 13,300.14 and 5,445 is: 7,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.84 : 13,300.14 = 5,445 : x
  2. Step 2: Convert to fraction form
    9,636.84/13,300.14 = 5,445/x
  3. Step 3: Cross multiply
    9,636.84x = 13,300.14 × 5,445
  4. Step 4: Simplify right side
    9,636.84x = 72,419,262.30
  5. Step 5: Solve for x
    x = 72,419,262.30/9,636.84
  6. Step 6: Final answer
    x = 7,514.83

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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.