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Finding the Fourth Proportional to 9,670.51, 14,505.77 and 2,650.58

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Solution

The fourth proportional to 9,670.51, 14,505.77 and 2,650.58 is: 3,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.51 : 14,505.77 = 2,650.58 : x
  2. Step 2: Convert to fraction form
    9,670.51/14,505.77 = 2,650.58/x
  3. Step 3: Cross multiply
    9,670.51x = 14,505.77 × 2,650.58
  4. Step 4: Simplify right side
    9,670.51x = 38,448,703.85
  5. Step 5: Solve for x
    x = 38,448,703.85/9,670.51
  6. Step 6: Final answer
    x = 3,975.87

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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.