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Finding the Fourth Proportional to 9,289.89, 12,820.02 and 5,098.14

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Solution

The fourth proportional to 9,289.89, 12,820.02 and 5,098.14 is: 7,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.89 : 12,820.02 = 5,098.14 : x
  2. Step 2: Convert to fraction form
    9,289.89/12,820.02 = 5,098.14/x
  3. Step 3: Cross multiply
    9,289.89x = 12,820.02 × 5,098.14
  4. Step 4: Simplify right side
    9,289.89x = 65,358,256.76
  5. Step 5: Solve for x
    x = 65,358,256.76/9,289.89
  6. Step 6: Final answer
    x = 7,035.42

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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.