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Finding the Fourth Proportional to 9,731.61, 13,416.35 and 6,890.49

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Solution

The fourth proportional to 9,731.61, 13,416.35 and 6,890.49 is: 9,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.61 : 13,416.35 = 6,890.49 : x
  2. Step 2: Convert to fraction form
    9,731.61/13,416.35 = 6,890.49/x
  3. Step 3: Cross multiply
    9,731.61x = 13,416.35 × 6,890.49
  4. Step 4: Simplify right side
    9,731.61x = 92,445,191.06
  5. Step 5: Solve for x
    x = 92,445,191.06/9,731.61
  6. Step 6: Final answer
    x = 9,499.48

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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.