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Finding the Fourth Proportional to 9,406.92, 12,988.98 and 7,635.72

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Solution

The fourth proportional to 9,406.92, 12,988.98 and 7,635.72 is: 10,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.92 : 12,988.98 = 7,635.72 : x
  2. Step 2: Convert to fraction form
    9,406.92/12,988.98 = 7,635.72/x
  3. Step 3: Cross multiply
    9,406.92x = 12,988.98 × 7,635.72
  4. Step 4: Simplify right side
    9,406.92x = 99,180,214.37
  5. Step 5: Solve for x
    x = 99,180,214.37/9,406.92
  6. Step 6: Final answer
    x = 10,543.32

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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.