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Finding the Fourth Proportional to 9,875.34, 13,628.12 and 6,689.61

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Solution

The fourth proportional to 9,875.34, 13,628.12 and 6,689.61 is: 9,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.34 : 13,628.12 = 6,689.61 : x
  2. Step 2: Convert to fraction form
    9,875.34/13,628.12 = 6,689.61/x
  3. Step 3: Cross multiply
    9,875.34x = 13,628.12 × 6,689.61
  4. Step 4: Simplify right side
    9,875.34x = 91,166,774.39
  5. Step 5: Solve for x
    x = 91,166,774.39/9,875.34
  6. Step 6: Final answer
    x = 9,231.76

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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.