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Finding the Fourth Proportional to 6,405.60, 9,262.20 and 6,405.60

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Solution

The fourth proportional to 6,405.60, 9,262.20 and 6,405.60 is: 9,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.60 : 9,262.20 = 6,405.60 : x
  2. Step 2: Convert to fraction form
    6,405.60/9,262.20 = 6,405.60/x
  3. Step 3: Cross multiply
    6,405.60x = 9,262.20 × 6,405.60
  4. Step 4: Simplify right side
    6,405.60x = 59,329,948.32
  5. Step 5: Solve for x
    x = 59,329,948.32/6,405.60
  6. Step 6: Final answer
    x = 9,262.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.