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Finding the Fourth Proportional to 9,477.56, 14,209.31 and 4,542.50

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Solution

The fourth proportional to 9,477.56, 14,209.31 and 4,542.50 is: 6,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.56 : 14,209.31 = 4,542.50 : x
  2. Step 2: Convert to fraction form
    9,477.56/14,209.31 = 4,542.50/x
  3. Step 3: Cross multiply
    9,477.56x = 14,209.31 × 4,542.50
  4. Step 4: Simplify right side
    9,477.56x = 64,545,696.92
  5. Step 5: Solve for x
    x = 64,545,696.92/9,477.56
  6. Step 6: Final answer
    x = 6,810.37

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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.