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Finding the Fourth Proportional to 9,570.84, 14,354.64 and 2,645.36

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Solution

The fourth proportional to 9,570.84, 14,354.64 and 2,645.36 is: 3,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.84 : 14,354.64 = 2,645.36 : x
  2. Step 2: Convert to fraction form
    9,570.84/14,354.64 = 2,645.36/x
  3. Step 3: Cross multiply
    9,570.84x = 14,354.64 × 2,645.36
  4. Step 4: Simplify right side
    9,570.84x = 37,973,190.47
  5. Step 5: Solve for x
    x = 37,973,190.47/9,570.84
  6. Step 6: Final answer
    x = 3,967.59

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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.