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Finding the Fourth Proportional to 9,291.84, 12,822.96 and 5,100

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Solution

The fourth proportional to 9,291.84, 12,822.96 and 5,100 is: 7,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 12,822.96 = 5,100 : x
  2. Step 2: Convert to fraction form
    9,291.84/12,822.96 = 5,100/x
  3. Step 3: Cross multiply
    9,291.84x = 12,822.96 × 5,100
  4. Step 4: Simplify right side
    9,291.84x = 65,397,096.00
  5. Step 5: Solve for x
    x = 65,397,096.00/9,291.84
  6. Step 6: Final answer
    x = 7,038.12

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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.