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Finding the Fourth Proportional to 9,802.85, 13,530.69 and 8,038.67

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Solution

The fourth proportional to 9,802.85, 13,530.69 and 8,038.67 is: 11,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.85 : 13,530.69 = 8,038.67 : x
  2. Step 2: Convert to fraction form
    9,802.85/13,530.69 = 8,038.67/x
  3. Step 3: Cross multiply
    9,802.85x = 13,530.69 × 8,038.67
  4. Step 4: Simplify right side
    9,802.85x = 108,768,751.78
  5. Step 5: Solve for x
    x = 108,768,751.78/9,802.85
  6. Step 6: Final answer
    x = 11,095.63

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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.