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Finding the Fourth Proportional to 9,570.54, 14,354.70 and 2,645.58

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Solution

The fourth proportional to 9,570.54, 14,354.70 and 2,645.58 is: 3,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.54 : 14,354.70 = 2,645.58 : x
  2. Step 2: Convert to fraction form
    9,570.54/14,354.70 = 2,645.58/x
  3. Step 3: Cross multiply
    9,570.54x = 14,354.70 × 2,645.58
  4. Step 4: Simplify right side
    9,570.54x = 37,976,507.23
  5. Step 5: Solve for x
    x = 37,976,507.23/9,570.54
  6. Step 6: Final answer
    x = 3,968.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.