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Finding the Fourth Proportional to 9,645.51, 13,306.35 and 6,665.52

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Solution

The fourth proportional to 9,645.51, 13,306.35 and 6,665.52 is: 9,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.51 : 13,306.35 = 6,665.52 : x
  2. Step 2: Convert to fraction form
    9,645.51/13,306.35 = 6,665.52/x
  3. Step 3: Cross multiply
    9,645.51x = 13,306.35 × 6,665.52
  4. Step 4: Simplify right side
    9,645.51x = 88,693,742.05
  5. Step 5: Solve for x
    x = 88,693,742.05/9,645.51
  6. Step 6: Final answer
    x = 9,195.34

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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.