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Finding the Fourth Proportional to 9,829.60, 14,744.40 and 4,564.60

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Solution

The fourth proportional to 9,829.60, 14,744.40 and 4,564.60 is: 6,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.60 : 14,744.40 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    9,829.60/14,744.40 = 4,564.60/x
  3. Step 3: Cross multiply
    9,829.60x = 14,744.40 × 4,564.60
  4. Step 4: Simplify right side
    9,829.60x = 67,302,288.24
  5. Step 5: Solve for x
    x = 67,302,288.24/9,829.60
  6. Step 6: Final answer
    x = 6,846.90

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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.