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Finding the Fourth Proportional to 9,717.45, 13,402.98 and 6,354.87

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Solution

The fourth proportional to 9,717.45, 13,402.98 and 6,354.87 is: 8,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.45 : 13,402.98 = 6,354.87 : x
  2. Step 2: Convert to fraction form
    9,717.45/13,402.98 = 6,354.87/x
  3. Step 3: Cross multiply
    9,717.45x = 13,402.98 × 6,354.87
  4. Step 4: Simplify right side
    9,717.45x = 85,174,195.51
  5. Step 5: Solve for x
    x = 85,174,195.51/9,717.45
  6. Step 6: Final answer
    x = 8,765.08

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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.