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Finding the Fourth Proportional to 9,771.51, 14,645.23 and 5,558.30

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Solution

The fourth proportional to 9,771.51, 14,645.23 and 5,558.30 is: 8,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.51 : 14,645.23 = 5,558.30 : x
  2. Step 2: Convert to fraction form
    9,771.51/14,645.23 = 5,558.30/x
  3. Step 3: Cross multiply
    9,771.51x = 14,645.23 × 5,558.30
  4. Step 4: Simplify right side
    9,771.51x = 81,402,480.89
  5. Step 5: Solve for x
    x = 81,402,480.89/9,771.51
  6. Step 6: Final answer
    x = 8,330.59

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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.