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Finding the Fourth Proportional to 9,957.60, 14,943.60 and 5,570.40

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Solution

The fourth proportional to 9,957.60, 14,943.60 and 5,570.40 is: 8,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.60 : 14,943.60 = 5,570.40 : x
  2. Step 2: Convert to fraction form
    9,957.60/14,943.60 = 5,570.40/x
  3. Step 3: Cross multiply
    9,957.60x = 14,943.60 × 5,570.40
  4. Step 4: Simplify right side
    9,957.60x = 83,241,829.44
  5. Step 5: Solve for x
    x = 83,241,829.44/9,957.60
  6. Step 6: Final answer
    x = 8,359.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.