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Finding the Fourth Proportional to 9,645.81, 13,312.65 and 6,109.35

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Solution

The fourth proportional to 9,645.81, 13,312.65 and 6,109.35 is: 8,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.81 : 13,312.65 = 6,109.35 : x
  2. Step 2: Convert to fraction form
    9,645.81/13,312.65 = 6,109.35/x
  3. Step 3: Cross multiply
    9,645.81x = 13,312.65 × 6,109.35
  4. Step 4: Simplify right side
    9,645.81x = 81,331,638.28
  5. Step 5: Solve for x
    x = 81,331,638.28/9,645.81
  6. Step 6: Final answer
    x = 8,431.81

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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.