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Finding the Fourth Proportional to 9,477.87, 13,080.62 and 5,703

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Solution

The fourth proportional to 9,477.87, 13,080.62 and 5,703 is: 7,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.87 : 13,080.62 = 5,703 : x
  2. Step 2: Convert to fraction form
    9,477.87/13,080.62 = 5,703/x
  3. Step 3: Cross multiply
    9,477.87x = 13,080.62 × 5,703
  4. Step 4: Simplify right side
    9,477.87x = 74,598,775.86
  5. Step 5: Solve for x
    x = 74,598,775.86/9,477.87
  6. Step 6: Final answer
    x = 7,870.84

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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.