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Finding the Fourth Proportional to 9,728.96, 13,421.98 and 7,182.81

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Solution

The fourth proportional to 9,728.96, 13,421.98 and 7,182.81 is: 9,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.96 : 13,421.98 = 7,182.81 : x
  2. Step 2: Convert to fraction form
    9,728.96/13,421.98 = 7,182.81/x
  3. Step 3: Cross multiply
    9,728.96x = 13,421.98 × 7,182.81
  4. Step 4: Simplify right side
    9,728.96x = 96,407,483.19
  5. Step 5: Solve for x
    x = 96,407,483.19/9,728.96
  6. Step 6: Final answer
    x = 9,909.33

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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.