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Finding the Fourth Proportional to 9,802.81, 13,526.35 and 5,823.82

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Solution

The fourth proportional to 9,802.81, 13,526.35 and 5,823.82 is: 8,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.81 : 13,526.35 = 5,823.82 : x
  2. Step 2: Convert to fraction form
    9,802.81/13,526.35 = 5,823.82/x
  3. Step 3: Cross multiply
    9,802.81x = 13,526.35 × 5,823.82
  4. Step 4: Simplify right side
    9,802.81x = 78,775,027.66
  5. Step 5: Solve for x
    x = 78,775,027.66/9,802.81
  6. Step 6: Final answer
    x = 8,035.96

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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.