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Finding the Fourth Proportional to 9,461.60, 13,057.20 and 5,484

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Solution

The fourth proportional to 9,461.60, 13,057.20 and 5,484 is: 7,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.60 : 13,057.20 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,461.60/13,057.20 = 5,484/x
  3. Step 3: Cross multiply
    9,461.60x = 13,057.20 × 5,484
  4. Step 4: Simplify right side
    9,461.60x = 71,605,684.80
  5. Step 5: Solve for x
    x = 71,605,684.80/9,461.60
  6. Step 6: Final answer
    x = 7,568.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.