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Finding the Fourth Proportional to 9,416.07, 12,992.85 and 5,638.35

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Solution

The fourth proportional to 9,416.07, 12,992.85 and 5,638.35 is: 7,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.07 : 12,992.85 = 5,638.35 : x
  2. Step 2: Convert to fraction form
    9,416.07/12,992.85 = 5,638.35/x
  3. Step 3: Cross multiply
    9,416.07x = 12,992.85 × 5,638.35
  4. Step 4: Simplify right side
    9,416.07x = 73,258,235.80
  5. Step 5: Solve for x
    x = 73,258,235.80/9,416.07
  6. Step 6: Final answer
    x = 7,780.13

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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.