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Finding the Fourth Proportional to 9,705.58, 13,383.19 and 7,462.51

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Solution

The fourth proportional to 9,705.58, 13,383.19 and 7,462.51 is: 10,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.58 : 13,383.19 = 7,462.51 : x
  2. Step 2: Convert to fraction form
    9,705.58/13,383.19 = 7,462.51/x
  3. Step 3: Cross multiply
    9,705.58x = 13,383.19 × 7,462.51
  4. Step 4: Simplify right side
    9,705.58x = 99,872,189.21
  5. Step 5: Solve for x
    x = 99,872,189.21/9,705.58
  6. Step 6: Final answer
    x = 10,290.18

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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.