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Finding the Fourth Proportional to 9,627.76, 13,283.49 and 5,649.04

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Solution

The fourth proportional to 9,627.76, 13,283.49 and 5,649.04 is: 7,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.76 : 13,283.49 = 5,649.04 : x
  2. Step 2: Convert to fraction form
    9,627.76/13,283.49 = 5,649.04/x
  3. Step 3: Cross multiply
    9,627.76x = 13,283.49 × 5,649.04
  4. Step 4: Simplify right side
    9,627.76x = 75,038,966.35
  5. Step 5: Solve for x
    x = 75,038,966.35/9,627.76
  6. Step 6: Final answer
    x = 7,794.02

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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.